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The impact of fear effect on the dynamics of a delayed predator-prey model with stage structure: 《International Journal of Biomathematics》2023年第8期263-296,共34页Qi Cao Guotai Chen Wensheng Yang; supported by the Natural Science Foundation of China(11672074);the Natural Science Foundation of Fujian Province(2022J01192).; In this paper,a stage structure predator-prey model consisting of three nonlinear ordinary differential equations is proposed and analyzed.The prey populations are divided into two parts:juvenile prey and adult prey.F...; 关键词：Stage-structure model fear effect time delay Hopf bifurcation

Dynamics of a diffusive predator–prey system with ratio-dependent functional response and time delay被引量：2: 《International Journal of Biomathematics》2020年第6期1-21,共21页Xin Jiang Ran Zhang Zhikun She; This work was supported by Beijing Natural Science Foundation(Z180005);the National Natural Science Foundation of China(11422111);the Academic Excellence Foundation of BUAA for Ph.D.Students.; In this paper,we investigate the qualitative behaviors of a predator–prey system with ratio-dependent function.The system accommodates the diffusion effect to model the migration of individuals and the time delay ind...; 关键词：Predator-prey model diffusive time delay global asymptotical stability Hopf bifurcation

FLIP AND N-S BIFURCATION BEHAVIOR OF A PREDATOR-PREY MODEL WITH PIECEWISE CONSTANT ARGUMENTS AND TIME DELAY被引量：1: 《Acta Mathematica Scientia》2017年第6期1705-1726,共22页尚随明田玉张雅静; supported by Beijing Higher Education Young Elite Teacher(YETP0458); In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcatio...; 关键词：piecewise constant arguments time delay flip bifurcation N-S bifurcation stability

Hopf Bifurcation and Stability Analysis for a Predator-prey Model with Time-delay被引量：1: 《Chinese Quarterly Journal of Mathematics》2015年第1期93-106,共14页陈红兵; Supported by the the NSF of Gansu Province(096RJZE106); In this paper, a predator-prey model of three species is investigated, the necessary and sucient of the stable equilibrium point for this model is studied. Further, by introduc-ing a delay as a bifurcation parameter, ...; 关键词：Hopf bifurcation stability time delay predator-prey system periodic solution

Stability and Hopf Bifurcation Analysis of a Predator-Prey Model with Time Delayed Incomplete Trophic Transfer被引量：1: 《Acta Mathematicae Applicatae Sinica》2015年第1期235-246,共12页Chang-qin ZHANG Liping LIU Ping YAN Lin-zhong ZHANG; Supported by the Anhui Provincial Department of National Land and Resources with their Science and Technology Project entitled "Research on a Dynamic Monitoring Land Usage,Evaluation and Decision Support Management System in Wanjiang Demonstration Area"(Grant No.2011-K-23);Anhui Agricultural University,China(Grant No.YJ2012-03,No.XK2013029 and No.11201002);The Natural Sciences and Engineering Research Council of Canada; A new nonlinear predator-prey model with incomplete trophic transfer is introduced. In this model, we assume that the rate of the trophic absorption of the predator is less than the rate of the conversion of consumed ...; 关键词：incomplete trophic transfer time delay Ivlev-type existence and uniqueness STABILITY HOPFBIFURCATION

HOPF BIFURCATION IN A PREDATOR-PREY MODEL WITH TWO DELAYS: 《Annals of Differential Equations》2014年第3期312-317,共6页Yingguo Li; supported by the Foundation of Fujian Education Bureau(JB12046); In this paper,a predator-prey ecosystem with two delays is considered.Firstly,the stability of the equilibrium of the system is investigated by analyzing the characteristic equation.Secondly,by choosing the sum of the...; 关键词：predator-prey model time delay STABILITY Hopf bifurcation

Bifurcation analysis in a stage-structured predator-prey model with maturation delay: 《International Journal of Biomathematics》2014年第4期121-137,共17页Jia Liu; In this paper, we investigate the impact of maturation delay on the positive equilibrium solutions in a stage-structured predator prey system. By analyzing the characteristic equation we derive the conditions for the ...; 关键词：Time delay Hopf bifurcation limit cycles predator-prey model.

A Stage-structured Predator-prey Model with Time Delay and Impulsive Effects被引量：1: 《Chinese Quarterly Journal of Mathematics》2014年第1期45-54,共10页DU Yan-ke Wu Xiang-dong Xu Rui; Foundation item： Supported by the NNSF of China（11071254）; Supported by the Science Foundation of Mechanical Engineering College（YJJXMll004）; A delayed predator-prey model concerning impulsive spraying pesticides and releasing natural enemies is proposed and investigated,in which both the prey and the predator have a history that takes them through two stag...; 关键词：STAGE-STRUCTURE DELAY biological and chemical control impulsive effect global attractiveness PERMANENCE

STABILITY AND BIFURCATION ANALYSIS OF A PREDATOR-PREY MODEL WITH CROWLEY-MARTIN TYPE FUNCTIONAL RESPONSE AND TIME DELAY被引量：1: 《Annals of Differential Equations》2012年第4期404-411,共8页Yingguo Li ,Junbin Ke(School of Math.and Computer Science,Fujian Normal University,Fuzhou 350007); In this paper,a class of predator-prey model with Crowley-Martin type functional response and time delay is considered.By choosing the delay as a bifurcation parameter,it is shown that Hopf bifurcation occurs as the d...; 关键词：predator-prey model Crowley-Martin time delay STABILITY Hopf bifurcation

RATIO-DEPENDENT PREDATOR-PREY MODEL WITH STAGE STRUCTURE AND TIME DELAY被引量：2: 《International Journal of Biomathematics》2012年第4期15-37,共23页LIJUAN ZHA JING-AN CUI XUEYONG ZHOU; Ratio-dependent predator prey models are favored by many animal ecologists recently as more suitable ones for predator-prey interactions where predation involves searching process. In this paper, a ratio-dependent pre...; 关键词：RATIO-DEPENDENT stage structure time delay characteristic equation globally asymptotical stability.

PREDATOR-PREY_MODEL