PREDATOR-PREY_MODEL

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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 
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 
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 
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 
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 
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 
Bifurcation analysis of a diffusive predator-prey model with hyperbolic mortality and prey-taxis
《International Journal of Biomathematics》2024年第1期251-264,共14页Yan Li Zhiyi Lv Fengrong Zhang Hui Hao 
supported by the Natural Science Foundation of Shandong Province,China(Nos.ZR2021MA028 and ZR2021MA025).
In this paper,we study a diffusive predator-prey model with hyperbolic mortality and prey-taxis under homogeneous Neumann boundary condition.We first analyze the influence of prey-taxis on the local stability of const...
关键词：Predator-prey model prey-taxis Hopf bifurcation steady state bifurcation 
The impact of fear effect on the dynamics of a delayed predator-prey model with stage structure
《International Journal of Biomathematics》2023年第8期263-296,共34页Qi Cao Guotai Chen Wensheng Yang 
supported by the Natural Science Foundation of China(11672074);the Natural Science Foundation of Fujian Province(2022J01192).
In this paper,a stage structure predator-prey model consisting of three nonlinear ordinary differential equations is proposed and analyzed.The prey populations are divided into two parts:juvenile prey and adult prey.F...
关键词：Stage-structure model fear effect time delay Hopf bifurcation 
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