云南高校图书馆联盟文献共享服务平台- PREDATOR-PREY

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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

Bifurcations and steady states of a predator-prey model with strong Allee and fear effects: 《International Journal of Biomathematics》2024年第7期143-185,共43页Mengxin Chen Xuezhi Li Ranchao Wu; supported by the National Natural Science Foundation of China(Nos.11971032 and 12271143);the China Postdoctoral Science Foundation(No.2021M701118).; In this paper,the predator-prey model with strong Allee and fear effects is considered.The existence of the equilibria and their stability are established.Especially it is found that there is an interesting degenerate...; 关键词：Predator-prey model BIFURCATION fear effect Allee effect

Qualitative Analysis of a Diffusive Predator-prey Model with Nonlcoal Fear Effect: 《数学理论与应用》2024年第3期67-82,共16页Shen Zhongyuan Zhang Xuebing Li Shunjie; supported by the National Natural Science Foundation of China (No.12271261);the National Undergraduate Training Program for Innovation and Entrepreneurship (No.202310300044Z)。; In this paper,we establish a delayed predator-prey model with nonlocal fear effect.Firstly,the existence,uniqueness,and persistence of solutions of the model are studied.Then,the local stability,Turing bifurcation,and...; 关键词：Delay Nonlocal fear effect Global 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

Dynamical analysis and chaos control of a fractional-order Leslie-type predator-prey model with Caputo derivative: 《International Journal of Biomathematics》2024年第4期105-131,共27页Seval Isik Figen Kangalgil; In this paper,the dynamical behaviors of a discrete-time fractional-order population model are considered.The stability analysis and the topological classification of the model at the fixed point have been investigate...; 关键词：FRACTIONAL-ORDER predator-prey model DISCRETIZATION BIFURCATION CHAOS

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

Bifurcations,chaos analysis and control in a discrete predator-prey model with mixed functional responses: 《International Journal of Biomathematics》2024年第3期185-210,共26页Yajie Sun Ming Zhao Yunfei Du; supported by the National Natural Science Foundation of China(No.12001503);the Project of Beijing Municipal Commission of Education(KM 202110015001)。; Many discrete systems have more distinctive dynamical behaviors compared to continuous ones,which has led lots of researchers to investigate them.The discrete predatorprey model with two different functional responses...; 关键词：Predator-prey model flip bifurcation Neimark-Sacker bifurcation Marotto's chaos chaos control

Global dynamics of a Leslie-Gower predator-prey model in open advective environments: 《International Journal of Biomathematics》2024年第3期241-264,共24页Baifeng Zhang Guohong Zhang Xiaoli Wang; supported by the National Natural Science Foundation of China(11871403);Fundamental Research Funds for the Central Universities(XDJK2020B050).; This paper investigates the global dynamics of a reaction-diffusion-advection Leslie-Gower predator-prey model in open advective environments.We find that there exist critical advection rates,intrinsic growth rates,di...; 关键词：Leslie Gower predator-prey system advection global dynamics COEXISTENCE EXTINCTION

Global Solvability for a Predator-Prey Model with Prey-Taxis and Rotational Flux Terms: 《Chinese Annals of Mathematics,Series B》2024年第2期297-318,共22页Guoqiang REN Bin LIU; supported by the National Natural Science Foundation of China(Nos.12001214,12231008);the Fundamental Research Funds for the Central Universities(No.3004011139)。; In this paper the author investigates the following predator-prey model with prey-taxis and rotational?ux terms■in a bounded domain with smooth boundary.He presents the global existence of generalized solutions to th...; 关键词：PREDATOR-PREY Prey-taxis Giopal existence Kotational flnux

Influence of toxic substances on dynamical behavior of a delayed diffusive predator-prey model: 《International Journal of Biomathematics》2024年第2期177-200,共24页Honglan Zhu Xuebing Zhang Hao Zhang; supported by the National Natural Science Foundation of China(71874067);Jiangsu Province Post Doctoral Fund(2020Z217);the Agricultural Science and Technology Independent Innovation Fund of Jiangsu Province(CX(20)3074);the Six Industry Talent Peak Project fund of Jiangsu Province(RJFW-049 and JNHB-115).; In this paper,we propose and investigate a delayed diffusive predator-prey model affected by toxic substances.We first study the boundedness and persistence property of the model.By analyzing the associated characteri...; 关键词：TOXICANT DELAY DIFFUSION BIFURCATION spatial pattern

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