PREDATOR-PREY_MODEL

作品数：131被引量：144H指数：5
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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 
Impact of time delay and cooperation strategy on the stability of a predator-prey model with Holling type III functional response
《International Journal of Biomathematics》2023年第3期165-193,共29页I.Benamara A.El Abdllaouit J.Mikramt 
In this paper,we propose and analyze a delayed predator-prey model with Holling type III functional response taking into account cooperation behavior in predators.The time delay is introduced in the attack rate to rep...
关键词：Predator-prey system Holling type III discrete delay cooperative hunting HOPF-BIFURCATION switch of stability 
On the Dynamics of a Stochastic Ratio-Dependent Predator-Prey System with Infection for the Prey被引量：2
《Open Journal of Applied Sciences》2021年第4期440-457,共18页Jiying Ma Haimiao Ren 
In this paper, we investigate the dynamics of a stochastic predator-prey model with ratio-dependent functional response and disease in the prey. Firstly, we prove the existence and uniqueness of the positive solution ...
关键词：Stochastic Predator-Prey Model RATIO-DEPENDENT Stationary Distribution EXTINCTION 
INVASION TRAVELING WAVES FOR A DISCRETE DIFFUSIVE RATIO-DEPENDENT PREDATOR-PREY MODEL被引量：1
《Acta Mathematica Scientia》2020年第5期1459-1476,共18页Tao SU Guobao ZHANG 
supported by NSF of China(11861056);Gansu Provincial Natural Science Foundation(18JR3RA093).
This article is concerned with the existence of traveling wave solutions for a discrete diffusive ratio-dependent predator-prey model. By applying Schauder’s fixed point theorem with the help of suitable upper and lo...
关键词：predator-prey system ratio-dependent functional response discrete diffusion invasion traveling waves 
Hopf Bifurcation and Stability Analysis for a Predator-prey Model with Time-delay被引量：1
《Chinese Quarterly Journal of Mathematics》2015年第1期93-106,共14页陈红兵 
Supported by the the NSF of Gansu Province(096RJZE106)
In this paper, a predator-prey model of three species is investigated, the necessary and sucient of the stable equilibrium point for this model is studied. Further, by introduc-ing a delay as a bifurcation parameter, ...
关键词：Hopf bifurcation stability time delay predator-prey system periodic solution 
HOPF BIFURCATION ANALYSIS OF A PREDATOR-PREY MODEL WITH TIME-DELAY被引量：1
《Annals of Differential Equations》2012年第1期15-20,共6页Hongbing Chen,Wansheng He,Xiaoke Sun (School of Math.and Statistics,Tianshui Normal University,Tianshui 741001,Gansu 
supported by the NSF of Gansu Province (096RJZE106); Tianshui Normal University (TSA1005)
In this paper,a predator-prey model of three species is investigated.By introducing a delay as a bifurcation parameter,it is found that Hopf bifurcation occurs when τ crosses some critical values.
关键词：Hopf bifurcation STABILITY time delay predator-prey system equilibrium point 
A STAGE-STRUCTURED AND HARVESTING PREDATOR-PREY SYSTEM
《Annals of Differential Equations》2011年第3期293-301,共9页Liujuan Chen (Ministry of Science Training,Fujian Institute of Education,Fuzhou 350001) Fengde Chen(College of Math. and Computer Science,Fuzhou University,Fuzhou 350002) 
supported by the Foundation of Fujian Education Bureau (JA08253);the Technology Innovation Platform Project of Fujian Province (2009J1007)
A predator-prey system with independent harvesting in either species and BeddingtonDeAngelis functional response is investigated. By analyzing characteristic equations and using an iterative technique,we obtain a set ...
关键词：predator-prey model HARVESTING STAGE-STRUCTURE uniform persistence stability switch time delay Hopf bifurcation 
NOTE ON “BIFURCATION OF A PREDATOR-PREY MODEL WITH UNDERCROWDING EFFECT”
《Applied Mathematics(A Journal of Chinese Universities)》2003年第3期370-372,F003,共4页Yang MingchaoDept. of Math., Zhejiang Univ., Hangzhou 310027, China. 
Inexistence and existence of limit cycles in a predator-prey model with undercrowding effect are studied.The number of limit cycles obtained by Zheng Weiwei in 2000 is corrected.
关键词：predator-prey system weak focus limit cycle 
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