PREDATOR-PREY

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Global Asymptotic Stability and Hopf Bifurcation in a Homogeneous Diffusive Predator-Prey System with Holling Type II Functional Response被引量：3
《Applied Mathematics》2020年第5期389-406,共18页Shuangte Wang Hengguo Yu Chuanjun Dai Min Zhao 
In this paper, we considered a homogeneous reaction-diffusion predator-prey system with Holling type II functional response subject to Neumann boundary conditions. Some new sufficient conditions were analytically esta...
关键词：HOLLING Type II Functional Response REACTION-DIFFUSION PREDATOR-PREY System Global Stability TURING Instability Hopf Bifurcation 
The Dynamical Behavior of a Predator-Prey System with Holling Type II Functional Response and Allee Effect被引量：4
《Applied Mathematics》2020年第5期407-425,共19页Shuangte Wang Hengguo Yu Chuanjun Dai Min Zhao 
In this paper, we mainly considered the dynamical behavior of a predator-prey system with Holling type II functional response and Allee-like effect on predator, including stability analysis of equilibria and Hopf bifu...
关键词：PREDATOR-PREY System HOLLING Type II FUNCTIONAL Response Allee Effect Stability HOPF BIFURCATION 
Impulsive Predator-Prey Dynamic Systems with Beddington-DeAngelis Type Functional Response on the Unification of Discrete and Continuous Systems被引量：1
《Applied Mathematics》2015年第9期1649-1664,共16页Ayse Feza Güvenilir Billur Kaymakcalan Neslihan Nesliye Pelen 
In this study, the impulsive predator-prey dynamic systems on time scales calculus are studied. When the system has periodic solution is investigated, and three different conditions have been found, which are necessar...
关键词：Time Scales Calculus Predator-Prey Dynamic Systems Periodic Solutions Coincidence Degree Theory Beddington-DeAngelis Type Functional Response 
Extended Jacobian Elliptic Function Expansion Method and Its Applications in Biology
《Applied Mathematics》2015年第7期1174-1181,共8页Emad H. M. Zahran Mostafa M. A. Khater 
In this work, an extended Jacobian elliptic function expansion method is proposed for constructing the exact solutions of nonlinear evolution equations. The validity and reliability of the method are tested by its app...
关键词：Extended JACOBIAN Elliptic Function Expansion Method Dynamical SYSTEM in a New DOUBLE-CHAIN Model of DNA A Diffusive PREDATOR-PREY SYSTEM Traveling WAVE SOLUTIONS Solitary WAVE SOLUTIONS 
Positive Periodic Solution for a Two-Species Predator-Prey System被引量：1
《Applied Mathematics》2014年第8期1099-1107,共9页Meiyu Cao Xiaoping Li Xiangjun Dai 
A two-species predator-prey system with time delay in a two-patch environment is investigated. By using a continuation theorem based on coincidence degree theory, we obtain some sufficient conditions for the existence...
关键词：PREDATOR-PREY System Diffusion PERIODIC Solution COINCIDENCE Degree 
Hopf Bifurcations in a Predator-Prey System of Population Allelopathy with Discrete Delay
《Applied Mathematics》2012年第6期652-661,共10页Xinhui Wang Haihong Liu 
A delayed Lotka-Volterra two-species predator-prey system of population allelopathy with discrete delay is considered. By linearizing the system at the positive equilibrium and analyzing the associated characteristic ...
关键词：LOTKA-VOLTERRA PREDATOR-PREY System Discrete Delay ALLELOPATHY Stability HOPF BIFURCATION Periodic Solution 
Persistence in Non-Autonomous Lotka-Volterra System with Predator-Prey Ratio-Dependence and Density Dependence
《Applied Mathematics》2011年第9期1148-1153,共6页Haiyin Li 
The main purpose of this article is considering the persistence non-autonomous Lotka-Volterra system with predator-prey ratio-dependence and density dependence. We get the sufficient conditions of persistence of syste...
关键词：Uniform PERSISTENCE Density Dependent Predator RATIO-DEPENDENT NON-AUTONOMOUS LOTKA-VOLTERRA System 
Permanence and Global Stability for a Non-Autonomous Predator-Prey Model with Modified Leslie-Gower and Holling-Type II Schemes with Delays被引量：4
《Applied Mathematics》2011年第1期47-56,共10页Lin Hu Linfei Nie 
In this paper, a nonautonomous predator-prey system based on a modified version of the Leslie-Gower scheme and Holling-type II scheme with delayed effect is investigated. The general criteria of integrable form on the...
关键词：PREDATOR-PREY System LESLIE-GOWER and Holling-Type-II Functional Response PERMANENCE Global Stability 
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