PREDATOR-PREY

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THE STABILITY OF A PREDATOR-PREY MODEL WITH FEAR EFFECT IN PREY AND SQUARE ROOT FUNCTIONAL RESPONSE被引量：1
《Annals of Applied Mathematics》2020年第2期186-194,共9页Ying Huang Zhong Li 
In this paper, we consider a predator-prey model with fear effect and square root functional response. We give the singularity of the origin and discuss the stability and Hopf bifurcation of the trivial equilibrium an...
关键词：PREDATOR-PREY fear effect stability Hopf bifurcation 
NOTE ON THE STABILITY PROPERTY OF THE VANISHING EQUILIBRIUM POINT OF AN ECOLOGICAL SYSTEM CONSISTING OF A PREDATOR AND STAGE STRUCTURE PREY
《Annals of Applied Mathematics》2019年第2期139-144,共6页Xiaoyan Huang Fengde Chen 
supported by the National Natural Science Foundation of China under Grant(11601085);the Natural Science Foundation of Fujian Province(2017J01400)
We revisit the stability property of an ecological system consisting of a predator and stage structure prey which was proposed by Raid Kamel Naji and Salam Jasim Majeed. By constructing some suitable Lyapunov function...
关键词：stage structure PREDATOR-PREY global stability 
DYNAMICS OF A PREDATOR-PREY REACTION-DIFFUSION SYSTEM WITH NON-MONOTONIC FUNCTIONAL RESPONSE FUNCTION
《Annals of Applied Mathematics》2018年第2期199-220,共22页Huan Wang Cunhua Zhang 
Supported by the National Natural Science Foundation of China(61563026)
In this article, a two-species predator-prey reaction-diffusion system with Holling type-IV functional response and subject to the homogeneous Neumann boundary condition is regarded. In the absence of the spatial diff...
关键词：reaction-diffusion system predator-prey system asymptotic stability Hopf bifurcation 
PERMANENCE OF AN IMPULSIVE PREDATOR-PREY SYSTEM WITH MUTUAL INTERFERENCE AND CROWLEY-MARTIN RESPONSE FUNCTION
《Annals of Applied Mathematics》2017年第4期379-390,共12页Qiaoxia Lin 
supported by the Natural Science Foundation of Fujian Province(2015J01012,2015J01019,2015J05006);the Scientific Research Foundation of Fuzhou University(XRC-1438)
In this paper, we investigated an impulsive predator-prey model with mu- tual interference and Crowley-Martin response function. By the comparison theorem and the analysis technique of [12,14], sufficient conditions f...
关键词：PREDATOR-PREY mutual interference Crowley-Martin impul- sive PERMANENCE 
STABILITY PROPERTY OF A PREDATOR-PREY SYSTEM WITH A CONSTANT PROPORTION OF PREY REFUGE AND STAGE-STRUCTURE FOR PREY SPECIES
《Annals of Applied Mathematics》2017年第3期289-307,共19页Tingting Li 
supported by The National Natural Science Foundation of China(11601085);the Natural Science Foundation of Fujian Province(2017J01400)
A predator-prey system with a constant proportion of prey refuge and stage-structure for prey species is proposed and studied in this paper. A set of conditions for the permanence of the system is obtained. The local ...
关键词：PREDATOR-PREY STAGE-STRUCTURE REFUGE global stability 
GLOBAL ATTRACTIVITY IN AN ALMOST PERIODIC PREDATOR-PREY-MUTUALIST SYSTEM
《Annals of Applied Mathematics》2016年第1期42-53,共12页Liya Yang Fengde Chen Chengqiang Wu Xiangdong Xie 
supported by the Natural Science Foundation of Fujian Province(2015J01012,2015J01019)
In this paper, the almost periodic predator-prey-mutualist model with Holling type II functional response is discussed. A set of sufficient condi- tions which guarantee the uniform persistence and the global attractiv...
关键词：almost periodic solution predator-prey-mutualist system func-tional response Lyapunov function global attractivity 
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