云南高校图书馆联盟文献共享服务平台- PREDATOR-PREY

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Stability Analysis of an Epidemic Predator-Prey Model with Prey Dispersal and Holling Type-Ⅱ Functional Response: 《Journal of Mathematical Research with Applications》2025年第2期179-194,共16页Lingshu WANG Mei ZHANG Ya-nan ZHANG; Supported by the Social Science Foundation of Hebei Province(Grant No.HB23TJ003);the Science Research Project of Hebei Education Department(Grant No.BJK2024197)。; This paper examines an epidemic predator-prey model with prey dispersal and Holling type-II functional response. In this model, it is assumed that the predator population suffers a transmissible disease. By analyzing ...; 关键词：predator-prey model dispersal Holling type-II functional response Hopf bifurcation stability

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

Instability and bifurcation analysis of a diffusive predator-prey model with fear effect and delay: 《International Journal of Biomathematics》2024年第8期245-290,共46页Hongyan Sun Jianzhi Cao Pengmiao Hao Lijie Zhang; supported by the National Natural Science Foundation of China(Nos.12171135 and 11771115);the Natural Science Foundation of Hebei Province(Nos.A2020201021 and A2019201396);the Post Doctor Start-up Foundation of Zhejiang Normal University(No.ZC304021906);the Research Funding for High-Level Innovative Talents of Hebei University(No.801260201242).; In this paper,a delayed diffusive predator-prey model with fear effect under Neumann boundary conditions is considered.For the system without diffusion and delay,the conditions for the existence and local stability of...; 关键词：Delayed diffusive system Hopf bifurcation Turing instability pattern formation delay-diffusion-driven instability fear effect

Dynamics of a predator-prey model with mutation and nonlocal effect: 《International Journal of Biomathematics》2024年第8期123-146,共24页Bang-Sheng Han Shao-Yue Mi Miao-Miao Wen Lin Zhao; supported by the Natural Science Foundation of China(12161052,11801470 and U22A20231);the Natural Science Foundation of Sichuan Province(2022NSFSC1819);the Central Government Funds for Guiding Local Scientific and Technological Development(2021zYD0010);the Fundamental Research Funds for the Central Universities(2682022zTPY080).; The global dynamics of a nonlocal predator-prey model with mutation are investigated in this paper.First,by building a new comparison principle and constructing monotone iterative sequences,we give the existence of th...; 关键词：Predator-prey model NONLOCAL MUTATION WELL-POSEDNESS asymptotic behavior

Global stability of a quasilinear predator-prey model with indirect pursuit-evasion interaction: 《International Journal of Biomathematics》2024年第8期147-174,共28页Chuanjia Wan Pan Zheng Wenhai Shan; supported by the National Natural Science Foundation of China(Grant Nos.11601053,12271064);the Science and Technology Research Project of Chongqing Municipal Education Commission(Grant No.KJZD-K202200602);the Natural Science Foundation of Chongqing(Grant No.CSTB2023NSCQ-MSX0099);the Hong Kong Scholars Program(Grant Nos.XJ2021042,2021-005)and the Young Hundred Talents Program of CQUPT in 2022-2024.; This paper deals with a predator-prey model with indirect prey-taxis and predator-taxis{u_(t)=■·(D_(1)(u)■u)-χ■·(S_(1)(u)■z)+u(αv-a_(1)-b_(1)u),x∈Ω,t>0,u_(t)=■·(D_(2)(v)■v)-ε■·(S_(1)(v)■w)+v(a_(2)-b_(...; 关键词：Predator-prey model QUASILINEAR global boundedness STABILIZATION

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

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