期刊文献+
任意字段
题名或关键词
题名
关键词
摘要
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息
共找到260篇文章
< 1 2 … 13 >
每页显示 20 50 100
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
显示方式：
Large Prey Growth in the Wolkowicz-Rothe-Shafer Predator-Prey System with Group Defense 认领 引用
1
作者 André ZEGELING LIAO Jin 《数学理论与应用》 2025年第3期1-52,共52页
This paper investigates the number of limit cycles in a predator-prey system with group defense,intially introduced by Wolkowicz and later examined by Rothe and Shafer in the 1980’s.Under the assumption of large prey... This paper investigates the number of limit cycles in a predator-prey system with group defense,intially introduced by Wolkowicz and later examined by Rothe and Shafer in the 1980’s.Under the assumption of large prey growth,the system reduces to a perturbed singular system,whose limit cycles can be analyzed using geometric singular perturbation methods-primarily through the study of a slow-divergence integral.Our work completes partially the results previously obtained by Li and Zhu and by Hsu.We provide a comprehensive classification of all possible singular cycles capable of generating limit cycles and analyze the slow-divergence integral for the nine distinct types of cycle families that arise in a canard explosion.Based on these findings,we demonstrate that the maximum number of limit cycles emerging from the singular cycles is two in all cases,thereby confirming conjectures posed by Rothe-Shafer and Xiao-Ruan. 展开更多
关键词 Predator-prey system Group defense Singular perturbation Limit cycle
暂未订购 下载PDF
Dynamics and response reshaping of nonlinear predator-prey system undergoing random abrupt disturbances 认领 引用 被引量：5
2
作者 Lei XIA Jiaojiao SUN +2 位作者 Zuguang YING Ronghua HUAN Weiqiu ZHU 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2021年第8期1123-1134,共12页
An actual ecological predator-prey system often undergoes random environmental mutations owing to the impact of natural disasters and man-made destruction, which may destroy the balance between the species. In this pa... An actual ecological predator-prey system often undergoes random environmental mutations owing to the impact of natural disasters and man-made destruction, which may destroy the balance between the species. In this paper,the stochastic dynamics of the nonlinear predator-prey system considering random environmental mutations is investigated, and a feedback control strategy is proposed to reshape the response of the predator-prey system against random abrupt environmental mutations. A delayed Markov jump system(MJS) is established to model such a predator-prey system. A novel first integral is constructed which leads to better approximation solutions of the ecosystem. Then, by applying the stochastic averaging method based on this novel first integral, the stochastic response of the predator-prey system is investigated, and an analytical feedback control is designed to reshape the response of the ecosystem from the disturbed state back to the undisturbed one.Numerical simulations finally illustrate the accuracy and effectiveness of the proposed procedure. 展开更多
关键词 random excitation nonlinear dynamics reshaping control stationary probability density function(SPDF) predator-prey system
暂未订购 下载PDF
Study on the dynamics of a predator-prey system with prey production function submitting to power law 认领 引用
3
作者 QIAO Zhiyuan ZHANG Junjie +1 位作者 XUE Ya'nan XING Yepeng 《上海师范大学学报（自然科学版中英文）》 2025年第4期375-388,共14页
this paper,we propose two predator-prey dynamical systems where the prey follows power-law growth and the predation rate depends on the ratio of the two species.We investigate the stabilities and bifurcations of the e... this paper,we propose two predator-prey dynamical systems where the prey follows power-law growth and the predation rate depends on the ratio of the two species.We investigate the stabilities and bifurcations of the equilibria to the two system.For the first system,we show a sub-critical Andronov-Hopf bifurcation occurs by computing Lyapunov coefficient.For the second system,we show a saddle-node bifurcation occurs by employing Sotomayor's bifurcation theorem.Finally,an example are given to illustrate our main results. 展开更多
关键词 predator-prey power law production ratio-dependent predation bifurcation harvesting
暂未订购 下载PDF
PERSISTENCE AND THE GLOBAL DYNAMICS OF THE POSITIVE SOLUTIONS FOR A RATIODEPENDENT PREDATOR-PREY SYSTEM WITH A CROWDING TERM IN THE PREY EQUATION 认领 引用 被引量：3
4
作者 曾宪忠 顾永耕 《Acta Mathematica Scientia》 SCIE CSCD 2016年第3期689-703,共15页
This paper deals with the global dynamical behaviors of the positive solutions for a parabolic type ratio-dependent predator-prey system with a crowding term in the prey equation, where it is assumed that the coeffici... This paper deals with the global dynamical behaviors of the positive solutions for a parabolic type ratio-dependent predator-prey system with a crowding term in the prey equation, where it is assumed that the coefficient of the functional response is less than the coefficient of the intrinsic growth rates of the prey species. We demonstrated some special dynamical behaviors of the positive solutions of this system which the persistence of the coexistence of two species can be obtained when the crowding region in the prey equation only is designed suitably. Furthermore, we can obtain that under some conditions, the unique positive steady state solution of the system is globally asymptotically stable. 展开更多
关键词 ratio-dependent predator-prey system crowding effect persistence global stability
暂未订购 下载PDF
PERSISTENCE IN A THREE SPECIES LOTKA-VOLTERRA NONPERIODIC PREDATOR-PREY SYSTEM 认领 引用 被引量：2
5
作者 张银萍 孙继涛 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2000年第8期879-884,共6页
The predator-prey model for three species in which the right-hand sides are nonperiodic functions in time were considered, It's proved that the model is persistent under appropriate conditions.
关键词 persistence predator-prey system nonperiodic
暂未订购 下载PDF
The Stability of Holling Type IV Predator-Prey System with and without Delay 认领 引用 被引量：1
6
作者 彭亚红 晁少辉 《Journal of Donghua University(English Edition)》 EI CAS 2012年第2期171-174,共4页
The present paper is concerned with the Holling type IV predator-prey system with diffusion.By analyzing the characteristic equation associated with the positive equilibrium,the conditions for the asymptotic stability... The present paper is concerned with the Holling type IV predator-prey system with diffusion.By analyzing the characteristic equation associated with the positive equilibrium,the conditions for the asymptotic stability of the positive equilibrium is obtained.For the system without delay,it has been shown that the positive equilibrium is stable in certain region of the parameter plane.However,the introducing of the delay can lead to the loss of the stability.We find that in the region where the positive equilibrium is stable for the system without delay,there exists a critical value of the delay and the positive equilibrium is stable when the delay is less than this critical value and becomes unstable when the delay is greater than it. 展开更多
关键词 predator-prey system stability delay diffusion
暂未订购 下载PDF
Permanence and periodic solutions of delayed predator-prey system with impulse 认领 引用 被引量：1
7
作者 SHI Hong-bo 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE 2010年第3期264-276,共13页
The existence of positive periodic solution of a generalized semi-ratio-dependent predator-prey system with time delay and impulse is studied by using the continuation theorem based on the coincidence degree theory. T... The existence of positive periodic solution of a generalized semi-ratio-dependent predator-prey system with time delay and impulse is studied by using the continuation theorem based on the coincidence degree theory. The permanence of the system is also considered. The results partially improve and extend some known criteria. 展开更多
关键词 Predator-prey system impulse periodic solution permanence coincidence degree.
暂未订购 下载PDF
A note on periodic solutions for semi-ratio-dependent predator-prey systems 认领 引用 被引量：1
8
作者 LIU Xiu-xiang 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE 2010年第1期1-8,共8页
This note investigates the existence of periodic solutions for semi-ratio-dependent predator-prey models with functional response.New sharp criteria without any other nontrivial assumptions are presented by the invari... This note investigates the existence of periodic solutions for semi-ratio-dependent predator-prey models with functional response.New sharp criteria without any other nontrivial assumptions are presented by the invariance property of homotopy and analysis technique,which improve and extend many previous work.Some interesting numerical examples are given to illustrate our results. 展开更多
关键词 Periodic solutions predator-prey system functional response.
暂未订购 下载PDF
PERIODICITY IN A DELAYED SEMI-RATIO-DEPENDENT PREDATOR-PREY SYSTEM 认领 引用 被引量：1
9
作者 DingXiaoquan 《Applied Mathematics(A Journal of Chinese Universities)》 2005年第2期151-158,共8页
A delayed semi-ratio-dependent predator-prey system in a periodic environment is investigated in this paper.By using a continuation theorem based on Gaines and Mawhin's coincidence degree,the global existence of p... A delayed semi-ratio-dependent predator-prey system in a periodic environment is investigated in this paper.By using a continuation theorem based on Gaines and Mawhin's coincidence degree,the global existence of positive periodic solution is studied.A set of easily verifiable sufficient conditions are obtained. 展开更多
关键词 semi-ratio-dependent predator-prey system periodic solution coincidence degree.
暂未订购 下载PDF
PREDATOR-PREY SYSTEM WITH STAGE STRUCTURE AND DELAY 认领 引用 被引量：1
10
作者 Ye Kaili Song XinyuDept. of Math.,Xinyang Teachers College,Henan 464000, China. 《Applied Mathematics(A Journal of Chinese Universities)》 2003年第2期143-150,共8页
A system of retarded functional differential equations is proposed as a predator-prey model with stage structure in the prey.The invariance of non-negativity,nature of boundary equilibria and global stability are anal... A system of retarded functional differential equations is proposed as a predator-prey model with stage structure in the prey.The invariance of non-negativity,nature of boundary equilibria and global stability are analyzed.It is shown that in this model the time delay can make a stable equilibrium become unstable and even a switching of stabilities. 展开更多
关键词 stage structure predator-prey system global stability Hopf bifurcation.
暂未订购 下载PDF
THE PERSISTENCE OF SOLUTIONS IN A NONLOCAL PREDATOR-PREY SYSTEM WITH A SHIFTING HABITAT 认领 引用
11
作者 赵敏 袁荣 《Acta Mathematica Scientia》 SCIE CSCD 2024年第3期1096-1114,共19页
In this paper,we mainly study the propagation properties of a nonlocal dispersal predator-prey system in a shifting environment.It is known that Choi et al.[J Differ Equ,2021,302:807-853]studied the persistence or ext... In this paper,we mainly study the propagation properties of a nonlocal dispersal predator-prey system in a shifting environment.It is known that Choi et al.[J Differ Equ,2021,302:807-853]studied the persistence or extinction of the prey and of the predator separately in various moving frames.In particular,they achieved a complete picture in the local diffusion case.However,the question of the persistence of the prey and of the predator in some intermediate moving frames in the nonlocal diffusion case was left open in Choi et al.'s paper.By using some a prior estimates,the Arzelà-Ascoli theorem and a diagonal extraction process,we can extend and improve the main results of Choi et al.to achieve a complete picture in the nonlocal diffusion case. 展开更多
关键词 predator-prey system persistence nonlocal dispersal shifting environment
暂未订购 下载PDF
Hopf Bifurcation of Delayed Predator-prey System with Reserve Area for Prey and in the Presence of Toxicity 认领 引用
12
作者 Zhang Zi-zhen Chu Yu-gui Zhang Xin 《Communications in Mathematical Research》 CSCD 2018年第2期161-170,共10页
A kind of three species delayed predator-prey system with reserve area for prey and in the presence of toxicity is proposed in this paper. Local stability of the coexistence equilibrium of the system and the existence... A kind of three species delayed predator-prey system with reserve area for prey and in the presence of toxicity is proposed in this paper. Local stability of the coexistence equilibrium of the system and the existence of a Hopf bifurcation is established by choosing the time delay as the bifurcation parameter. Explicit formulas to determine the direction and stability of the Hopf bifurcation are obtained by means of the normal form theory and the center manifold theorem. Finally, we give a numerical example to illustrate the obtained results. 展开更多
关键词 delay Hopf bifurcation predator-prey system periodic solution toxicity
暂未订购 下载PDF
PERIODIC SOLUTIONS FOR GENERALIZED PREDATOR-PREY SYSTEMS WITH TIME DELAY AND DIFFUSION 认领 引用
13
作者 李必文 《Acta Mathematica Scientia》 SCIE 2004年第1期151-160,共10页
A set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions for delayed generalized predator-prey dispersion systemwhere ai(t),bi(t) and Di(t)(i = 1, 2) axe positive c... A set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions for delayed generalized predator-prey dispersion systemwhere ai(t),bi(t) and Di(t)(i = 1, 2) axe positive continuous T-periodic functions, gi(t,xi) (i = 1,2) and h(t,y) are continuous and T-periodic with respect to t and h(t,y) > 0 for y>0,t, y∈R,pi(x)(i=1,2) are continuous and monotonously increasing functions, and Pi(xi)>0 for xi>0. 展开更多
关键词 Positive periodic solution continuation theorem of coincidence degree,predator-prey system diffusion delay
暂未订购 下载PDF
POSITIVE STEADY STATES AND DYNAMICS FOR A DIFFUSIVE PREDATOR-PREY SYSTEM WITH A DEGENERACY 认领 引用 被引量：2
14
作者 杨璐 张贻民 《Acta Mathematica Scientia》 SCIE CSCD 2016年第2期537-548,共12页
In this article, we consider positive steady state solutions and dynamics for a spatially heterogeneous predator-prey system with modified Leslie-Gower and Holling-Type II schemes. The heterogeneity here is created by... In this article, we consider positive steady state solutions and dynamics for a spatially heterogeneous predator-prey system with modified Leslie-Gower and Holling-Type II schemes. The heterogeneity here is created by the degeneracy of the intra-specific pressures for the prey. By the bifurcation method, the degree theory, and a priori estimates, we discuss the existence and multiplicity of positive steady states. Moreover, by the comparison argument, we also discuss the dynamical behavior for the diffusive predator-prey system. 展开更多
关键词 Predator-prey system steady state solution dynamical behavior
暂未订购 下载PDF
Existence of Equilibrium Solutions to a Size-Structured Predator-Prey System with Functional Response 认领 引用 被引量：1
15
作者 LIU Keying LIU Weian 《Wuhan University Journal of Natural Sciences》 CAS 2009年第5期383-387,共5页
In this paper,we consider a nonlinear size-structured population model with functional response,which describes the dynamics of a predator-prey system living in a common habitat.We present a kind of functional respons... In this paper,we consider a nonlinear size-structured population model with functional response,which describes the dynamics of a predator-prey system living in a common habitat.We present a kind of functional response for the prey being a plant or algae,and explain its biological meanings.When the vital rates depend both on the individual's size and on the total population or only depend on the former,we obtain the existence of equilibrium solutions. 展开更多
关键词 equilibrium solutions functional response predator-prey system size-structured population model
暂未订购 下载PDF
A Kind of Predator-prey System of Holling Type II and Interaction Perturbation with Impulsive Effect 认领 引用 被引量：1
16
作者 GUO Hong-jian ZHAO Zhong +1 位作者 SONG Xin-yu CHEN Lan-sun 《Chinese Quarterly Journal of Mathematics》 北大核心 2008年第4期480-490,共11页
A kind of predator-prey system of Holling typeⅡand interaction perturbation with impulsive effect is presented.By using Floquet theory and small amplitude perturbations skills,the locally asymptotical stability of pr... A kind of predator-prey system of Holling typeⅡand interaction perturbation with impulsive effect is presented.By using Floquet theory and small amplitude perturbations skills,the locally asymptotical stability of prey-eradication periodic solution and the permanence of the system are discussed and the corresponding threshold conditions are given respectively.Finally,the existence of positive periodic solution is investigated by the bifurcation theory. 展开更多
关键词 predator-prey system periodic solution threshold asymptotically stable impulsive effect extinction permanence
暂未订购 下载PDF
Control problems of an age-dependentpredator-prey system 认领 引用 被引量：5
17
作者 HE Ze-rong WANG Hai-tao 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE 2009年第3期253-262,共10页
This paper is concerned with optimal harvesting problems for a system consisting oftwo populations with age-structure and interaction of predator-prey.Existence and uniquenessof non-negative solutions to the system an... This paper is concerned with optimal harvesting problems for a system consisting oftwo populations with age-structure and interaction of predator-prey.Existence and uniquenessof non-negative solutions to the system and the continuous dependence of solutions on controlvariables are investigated.Existence of optimal policy is discussed,optimality conditions arederived by means of normal cone and adjoint system techniques. 展开更多
关键词 predator-prey optimal control species age-structure maximum principle
暂未订购 下载PDF
POSITIVE STEADY STATES OF A DIFFUSIVE PREDATOR-PREY SYSTEM WITH PREDATOR CANNIBALISM 认领 引用 被引量：3
18
作者 王彪 《Acta Mathematica Scientia》 SCIE CSCD 2017年第5期1385-1398,共14页
The purpose of this paper is to investigate positive steady states of a diffusive predator-prey system with predator cannibalism under homogeneous Neumann boundary conditions. With the help of implicit function theore... The purpose of this paper is to investigate positive steady states of a diffusive predator-prey system with predator cannibalism under homogeneous Neumann boundary conditions. With the help of implicit function theorem and energy integral method, nonexistence of non-constant positive steady states of the system is obtained, whereas coexistence of non-constant positive steady states is derived from topological degree theory. The results indicate that if dispersal rate of the predator or prey is sufficiently large, there is no nonconstant positive steady states. However, under some appropriate hypotheses, if the dispersal rate of the predator is larger than some positive constant, for certain ranges of dispersal rates of the prey, there exists at least one non-constant positive steady state. 展开更多
关键词 Predator-prey existence and nonexistence pattern formation
暂未订购 下载PDF
Dynamical Behavior of Discrete Ratio-Dependent Predator-Prey System 认领 引用 被引量：1
19
作者 Mingxia Duan Jiying Ma 《Open Journal of Applied Sciences》 2023年第3期396-413,共18页
In this paper, we propose a discrete ratio-dependent predator-prey system. The stability of the fixed points of this model is studied. At the same time, it is shown that the discrete model undergoes fold bifurcation a... In this paper, we propose a discrete ratio-dependent predator-prey system. The stability of the fixed points of this model is studied. At the same time, it is shown that the discrete model undergoes fold bifurcation and flip bifurcation by using bifurcation theory and the method of approximation by a flow. Numerical simulations are presented not only to demonstrate the consistence with our theoretical analyses, but also to exhibit the complex dynamical behaviors, such as the cascade of period-doubling bifurcation in period-2 and the chaotic sets. The Maximum Lyapunov exponents are numerically computed to confirm further the complexity of the dynamical behaviors. These results show that the direct discrete method has more rich dynamic behaviors than the discrete model obtained by Euler method. 展开更多
关键词 Discrete-Time Predator-Prey System Ratio-Dependent Functional Response Stability and Bifurcation Analysis
暂未订购 下载PDF
Analysis of a Stochastic Ratio-Dependent Predator-Prey System with Markovian Switching and Lévy Jumps 认领 引用
20
作者 Xuegui Zhang Yuanfu Shao Taolin Zhang 《Journal of Applied Mathematics and Physics》 2020年第11期2632-2657,共26页
In this paper, the dynamics of a stochastic ratio-dependent predator-prey system with markovian switching and Lévy noise is studied. Firstly, we show the existence condition of global positive solution under the ... In this paper, the dynamics of a stochastic ratio-dependent predator-prey system with markovian switching and Lévy noise is studied. Firstly, we show the existence condition of global positive solution under the given positive initial value. Secondly, sufficient conditions for system extinction and persistence are obtained through some assumptions. Then, the sufficient conditions of stochastically persistence are obtained by combining stochastic analysis technique and M-matrix analysis. In addition, under appropriate conditions, we demonstrate the existence of a unique stationary distribution for a system without Lévy jumps. Finally, the empirical and Mlistein methods are used to verify the theoretical results through numerical simulation. 展开更多
关键词 Ratio-Dependent Predator-Prey System Lévy Stochastically Permanence Ergodicity
暂未订购 下载PDF
已选0条
引用分析
参考文献
引证文献
 统计分析
检索结果
已选文献
上一页 1 2 … 13 下一页 到第 页
在线咨询 使用帮助 返回顶部 意见反馈