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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

Study of the interactive effect of prey toxin and optimal foraging strategy on a predator-prey model: 《International Journal of Biomathematics》2018年第4期95-110,共16页Ya Li; The author thanks the referees very much for their valuable comments and suggestions. The work is supported by the Fhndamental Research Funds for the Central Universities （No. 74005701）, National Natural Science Foundation of China （No. 11771033）.; The optimal foraging theory predicts that predators choose prey with more net rate of energy intake and less energy costs if there are multiple food sources available. Toxins are found in many species in nature. Those...; 关键词：Predator-prey model TOXICITY optimal foraging stability bifurcation.

PREDATOR-PREY_MODEL