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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 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

Stability and Turing Patterns of a Predator-prey Model with Holling Type Ⅱ Functional Response and Allee Effect in Predator被引量：2: 《Acta Mathematicae Applicatae Sinica》2023年第3期675-695,共21页Lu CHEN Feng YANG Yong-li SONG; the National Natural Science Foundation of China (No.11971143;12071105);Zhejiang Provincial Natural Science Foundation of China (No.LZ23A010001)。; In this paper, we are concerned with a predator-prey model with Holling type Ⅱ functional response and Allee effect in predator. We first mathematically explore how the Allee effect affects the existence and stabilit...; 关键词：predator-prey model Allee effect DIFFUSION STABILITY Turing bifurcation

The Existence and Non-Existence of Positive Steady State Solutions for a Cross-Diffusion Predator-Prey Model with Holling Type Ⅱ Functional Response: 《Journal of Mathematical Research with Applications》2021年第4期383-392,共10页Shuping CAO Li-na ZHANG; Supported by the National Natural Science Foundation of China(Grant No.11761063).; In this paper,we consider the positive steady state solutions of a predator-prey model with Holling type Ⅱfunctional response and cross-diffusion,where two cross-diffusion rates represent the tendency of prey to keep...; 关键词：predator-prey model Holling typeⅡfunctional response CROSS-DIFFUSION coexistence states

Protection zone in a diffusive predator-prey model with Ivlev-type functional response被引量：1: 《Applied Mathematics(A Journal of Chinese Universities)》2020年第4期437-451,共15页ZHANG Li-na XU Fei; Supported by the National Natural Science Foundation of China(11761063).; The effect of a protection zone on a diffusion predator-prey model with Ivlev-type functional response is considered.We discuss the existence and non-existence of positive steady state solutions by using the bifurcati...; 关键词：Ivlev-type functional response protection zone BIFURCATION

EXISTENCE AND UNIQUENESS OF THE POSITIVE STEADY STATE SOLUTION FOR A LOTKA-VOLTERRA PREDATOR-PREY MODEL WITH A CROWDING TERM被引量：1: 《Acta Mathematica Scientia》2020年第6期1961-1980,共20页Xianzhong ZENG Lingyu LIU Weiyuan XIE; the Hunan Provincial Natural Science Foundation of China(2019JJ40079,2019JJ50160);the Scientific Research Fund of Hunan Provincial Education Department(16A071,19A179);the National Natural Science Foundation of China(11701169)。; This paper deals with a Lotka-Volterra predator-prey model with a crowding term in the predator equation.We obtain a critical value λ1^D(Ω0),and demonstrate that the existence of the predator inΩ0 only depends on t...; 关键词：Lotka-Volterra predator-prey model crowding term critical value COEXISTENCE

TRAVELING WAVE SOLUTIONS FOR A PREDATOR-PREY MODEL WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE: 《Annals of Applied Mathematics》2020年第3期221-234,共14页Zhuanling Gao Xiangkui Zhao Zhihong Zhao; the NNSF of PR China(11071014,11071205,11001032);the Fundamental Research Funds for the Central Universities(06108114).; In this paper,we study a class of predator-prey models with Beddington-De Angelis functional response.And the predator equation has singularity in zero prey population,where a smoothing auxiliary function is introduce...; 关键词：predator-prey model BEDDINGTON-DEANGELIS traveling wave solution EXISTENCE

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

HOPF BIFURCATION ANALYSIS IN A MONOD-HALDANE PREDATOR-PREY MODEL WITH THREE DELAYS: 《Annals of Applied Mathematics》2020年第1期73-90,共18页Renxiang Shi; We analysis Hopf bifurcation in a Monod-Haldane predator-prey model with three delays in this paper.Fixingτ1 andτ2 and takingτ3 as parameter,the direction and stability of Hopf bifurcation are studied by using cent...; 关键词：Hopf bifurcation Monod-Haldane predator-prey model DELAYS

A numerical method for solutions of Lotka-Volterra predator-prey model with time-delay: 《International Journal of Biomathematics》2018年第2期283-298,共16页Suayip Yiizbasl Murat Karacaylr; In this paper, we present a numerical scheme to obtain polynomial approximations for the solutions of continuous time-delayed population models for two interacting species. The method includes taking inner product of ...; 关键词：Continuous population models delay differential equations Lotka Volterraequation inner product residual error correction.

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