PREDATOR-PREY_MODEL

作品数:131被引量:144H指数:5
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相关作者:李华陈兰荪许志奋陈滨张薇更多>>
相关机构:陕西师范大学东南大学武汉理工大学盐城师范学院更多>>
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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 
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 
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 
Hopf bifurcation of a delayed predator-prey model with Allee effect and anti-predator behavior
《International Journal of Biomathematics》2023年第7期111-139,共29页Xinyue Xu Yan Meng Yangyang Shao 
This work is jointly supported by the National traditional Medicine Clinical Research Base Business Construction Special Topics(JDZX2015299);the Fundamental Research Funds for the Central University FRF-BR-16-019A.
This paper proposes a diffusive predator-prey model with Allee effect,time delay and anti-predator behavior.First,the existence and stability of all equilibria are analyzed and the conditions for the appearance of the...
关键词:PREDATOR-PREY Hopf bifurcation delay and diffusion Allee effect numerical simulation 
Harvest control for a delayed stage-structured diffusive predator-prey model
《International Journal of Biomathematics》2017年第1期45-76,共32页Xuebing Zhang Hongyong Zhao 
In this paper, we have considered a delayed stage-structured diffusive prey-predator model, in which predator is assumed to undergo exploitation. By using the theory of partial functional differential equations, the l...
关键词:STABILITY Hopf bifurcation delay. 
Stability of a delayed predator prey model in a random environment被引量:1
《Chinese Physics B》2015年第11期140-145,共6页靳艳飞 谢文贤 
supported by the National Natural Science Foundation of China(Grant Nos.11272051 and 11302172)
The stability of the first-order and second-order solution moments for a Harrison-type predator-prey model with parametric Gaussian white noise is analyzed in this paper. The moment equations of the system solution ar...
关键词:delay-independent stability predator-prey model moment equations environmental noise 
ASYMPTOTIC SOLUTION TO SINGULARLY PERTURBED DELAYED EQUATION FOR PREDATOR-PREY MODEL
《Annals of Differential Equations》2014年第4期424-431,共8页Na Wang Jianqiang Xu Lian Chen 
supported by NSF of China(No.11401385)
A kind of singularly perturbed delayed equation for predator-prey system is consi- dered. According to the boundary layer function method and the singular perturbation theory, we construct an asymptotic expansion of t...
关键词:singular perturbation delay PREDATOR-PREY approximate solution 
Anti-control of Hopf Bifurcation in a Delayed Predator-prey Gompertz Model
《Chinese Quarterly Journal of Mathematics》2013年第4期475-484,共10页XU Chang-jin CHEN Da-xue 
Foundation item: Supported by the National Natural Science Foundation of China(l1261010); Supported by the Soft Science and Technology Program of Guizhou Province(2011LKC2030); Suppored by the Natural Science and Technology Foundation of Guizhou Province(J[2012]2100); Suppored by the Governor Foundation of Guizhou Province([2012]53); Suppored by the Doctoral Foundation of Guizhou University of Finance and Economics(2010); Suppored by the Science and Technology Program of Hunan Province(2010FJ6021)
A delayed predator-prey Gompertz model is investigated. The stability is analyzed. Anti-control of Hopf bifurcation for the model is presented. Numerical simulations are performed to confirm that the new feedback cont...
关键词:predator-prey model stability Hopf bifurcation delay anti-control 
PERMANENCE AND GLOBAL STABILITY OF A DELAYED RATIO-DEPENDENT PREDATOR-PREY MODEL WITH STAGE STRUCTURE
《Annals of Differential Equations》2008年第2期171-183,共13页Lu Zhiqi,Wang Jiaoyan(Dept. of Math.,Henan Normal University,Xinxiang 453007,Henan) 
This work was supported by the National Natural Science Foundation of China (No.10572011).
A ratio-dependent predator-prey system with stage structure and time delays for both prey and predator is considered in this paper. Both the predator and prey have two stages,immature stage and mature stage,and the gr...
关键词:stage structure time delay PERMANENCE global stability 
Delayed stage-structured predator-prey model with impulsive perturbations on predator and chemical control on prey被引量:1
《Applied Mathematics and Mechanics(English Edition)》2007年第12期1679-1689,共11页焦建军 陈兰荪 
the National Natural Science Foundation of China(No.10471117)the Leading Academic Discipline Project of Guizhou Province
We consider a delayed stage-structured pest management predator-prey system with impulsive transmitting on predator and chemical control on prey. Sufficient conditions of the global attractiveness of the pest-extincti...
关键词:stage-structured DELAYED impulsive global attractivity PERMANENCE pest-extinction 
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