PREDATOR-PREY_MODEL

作品数：131被引量：144H指数：5
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A Delayed Predator-Prey Model with Fear Effect and Cannibalism
《Journal of Applied Mathematics and Physics》2025年第2期506-524,共19页Guoqing Li Xiaolin Lin Shaoyi Geng 
In this paper, we consider the fear effect and gestation delay, and then establish a delayed predator-prey model with cannibalism. Firstly, we prove the well-posedness of the model. Secondly, the existence and stabili...
关键词：Predator-Prey Model Fear Effect CANNIBALISM Stability Hopf Bifurcation 
Global Dynamics in a Predator-Prey Model with Allee Effect
《Journal of Applied Mathematics and Physics》2024年第7期2377-2385,共9页Tianjing Wang Fuqin Sun 
Since the last century, various predator-prey systems have garnered widespread attention. In particular, the predator-prey systems have sparked significant interest among applied mathematicians and ecologists. From th...
关键词：Bazykin Allee Effect Hopf Bifurcation 
Bifurcation and Turing Pattern Formation in a Diffusion Modified Leslie-Gower Predator-Prey Model with Crowley-Martin Functional Response
《Journal of Applied Mathematics and Physics》2024年第6期2190-2211,共22页Dong Wang Yani Ma 
In this paper, we study a modified Leslie-Gower predator-prey model with Smith growth subject to homogeneous Neumann boundary condition, in which the functional response is the Crowley-Martin functional response term....
关键词：Modified Leslie-Gower Model Crowley-Martin Function Response Hopf Bifurcation Transcritical Bifurcation Turing Instability 
Dynamic Analysis of a Predator-Prey Model with Holling-II Functional Response
《Journal of Applied Mathematics and Physics》2023年第10期2871-2878,共8页Jiemin Mo Wanying Li Donghuan He Songbo Wang Xiaoliang Zhou 
A predator-prey model with linear capture term Holling-II functional response was studied by using differential equation theory. The existence and the stabilities of non-negative equilibrium points of the model were d...
关键词：Predator-Prey Model Holling-II Functional Response Equilibrium Point STABILITY 
Canard Solutions in a Predator-Prey Model
《Journal of Applied Mathematics and Physics》2022年第5期1678-1693,共16页Guojian Lin 
The canard explosion phenomenon in a predator-prey model with Michaelis-Menten functional response is analyzed in this paper by employing the geometric singular perturbation theory. First, some turning points, such as...
关键词：Canard Explosion Relaxation Oscillation Predator-Prey Model Geometric Singular Perturbation Theory 
Stability and Bifurcation Analysis of a Predator-Prey Model with Michaelis-Menten Type Prey Harvesting
《Journal of Applied Mathematics and Physics》2022年第2期504-526,共23页Wenchang Chen 
In this paper, we investigated stability and bifurcation behaviors of a predator-prey model with Michaelis-Menten type prey harvesting. Sufficient conditions for local and global asymptotically stability of the interi...
关键词：Michaelis-Menten Type Prey Harvesting Stability Bifurcation Limit Cycle 
Periodic Solution for a Stochastic Predator-Prey Model with Impulses and Holling-II Functional Response
《Journal of Applied Mathematics and Physics》2019年第10期2212-2230,共19页Yafei Yang Yuanfu Shao Mengwei Li 
Considering the mutual interference between species, a stochastic predator-prey model with impulses and Holling-II functional response is proposed in this paper. Firstly, by constructing an equivalent system without i...
关键词：STOCHASTIC IMPULSES Mutual Interference PERIODIC Solution 
Control Schemes to Reduce Risk of Extinction in the Lotka-Volterra Predator-Prey Model
《Journal of Applied Mathematics and Physics》2014年第7期644-652,共9页Jessica Li 
The Lotka-Volterra predator-prey model is widely used in many disciplines such as ecology and economics. The model consists of a pair of first-order nonlinear differential equations. In this paper, we first analyze th...
关键词：Lotka-Voterra PREDATOR-PREY Model EXTINCTION CONTROL Feedback CONTROL Stability 
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