PREDATOR-PREY

作品数:130被引量:181H指数:5
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具有环境容纳量和成熟双时滞的有毒食饵-捕食者收获模型被引量:1
《Chinese Quarterly Journal of Mathematics》2023年第4期331-348,共18页钟颖 韦煜明 
Supported by National Natural Science Foundation of China(Grant No.11961074).
In this paper,a model of predator-prey with dual delay in maturation and carrying capacity is discussed,in which the past activity of the prey should have an impact on the carrying capacity,the mature prey initiates d...
关键词:PREDATOR-PREY Time delay Hopf bifurcation HARVESTING TOXICANT 
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 
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 
Global Asymptotic Stability and Hopf Bifurcation in a Homogeneous Diffusive Predator-Prey System with Holling Type II Functional Response被引量:3
《Applied Mathematics》2020年第5期389-406,共18页Shuangte Wang Hengguo Yu Chuanjun Dai Min Zhao 
In this paper, we considered a homogeneous reaction-diffusion predator-prey system with Holling type II functional response subject to Neumann boundary conditions. Some new sufficient conditions were analytically esta...
关键词:HOLLING Type II Functional Response REACTION-DIFFUSION PREDATOR-PREY System Global Stability TURING Instability Hopf Bifurcation 
DYNAMICS OF A PREDATOR-PREY REACTION-DIFFUSION SYSTEM WITH NON-MONOTONIC FUNCTIONAL RESPONSE FUNCTION
《Annals of Applied Mathematics》2018年第2期199-220,共22页Huan Wang Cunhua Zhang 
Supported by the National Natural Science Foundation of China(61563026)
In this article, a two-species predator-prey reaction-diffusion system with Holling type-IV functional response and subject to the homogeneous Neumann boundary condition is regarded. In the absence of the spatial diff...
关键词:reaction-diffusion system predator-prey system asymptotic stability Hopf bifurcation 
A diffusive predator-prey system with additional food and intra-specific competition among predators被引量:1
《International Journal of Biomathematics》2018年第4期301-328,共28页Ruizhi Yang Ming Liu Chunrui Zhangt 
The authors wish to express their gratitude to the editors and the reviewers for the helpful comments. This research is supported by the National Nature Science Foundation of China (No. 11601070) and Heilongjiang Provincial Natural Science Foundation (No. A2015016).
In this paper, a diffusive predator-prey system with additional food and intra-specific competition among predators subject to Neumann boundary condition is investigated. For non-delay system, global stability, Turing...
关键词:PREDATOR-PREY additional food DELAY Turing instability Hopf bifurcation. 
Hopf Bifurcation Analysis for a Modified Time-Delay Predator-Prey System with Harvesting
《Journal of Applied Mathematics and Physics》2015年第7期771-780,共10页Yang Ni Yan Meng Yiming Ding 
In this paper, we consider the direction and stability of time-delay induced Hopf bifurcation in a delayed predator-prey system with harvesting. We show that the positive equilibrium point is asymptotically stable in ...
关键词:HOPF Bifurcation TIME-DELAY PREDATOR-PREY Model 
Hopf analysis of a differential-algebraic predator-prey model with Allee effect and time delay被引量:1
《International Journal of Biomathematics》2015年第3期237-254,共18页Xue Zhang Qingling Zhang 
This work was supported by National Science Foundation of China 61273008 and 61203001, Doctor Startup Fund of Liaoning Province (20131026), Fundamental Research Funds for the Central University (N140504005) and China Scholarship Council. The authors gratefully thank referees for their valuable suggestions.
A differential-algebraic prey--predator model with time delay and Allee effect on the growth of the prey population is investigated. Using differential-algebraic system theory, we transform the prey predator model int...
关键词:Differential-algebraic model Allee effect time delay stability Hopf bifurcation. 
Dynamics of a Predator-Prey Ecological System with Nonlinear Harvesting Rate被引量:1
《Wuhan University Journal of Natural Sciences》2015年第1期25-33,共9页LIU Weiyi LI Biwen FU Chaojin CHEN Boshan 
Supported by the National Natural Science Foundation of China(61304057);the Research Program of Hubei Normal University(ky201302);the Young and Middle-Aged Elitists’Scientific and Technological Innovation Team Project of the Institutions of Higher Education in Hubei Province(T2014212)
In this paper, a predator-prey ecological economic system with nonlinear harvesting rate is formulated and studied. This system is described by a differential-algebraic equation. By employing local parameterization me...
关键词:differential-algebraic equation STABILITY Hopf bifurcation nonlinear harvesting rate 
Bifurcation analysis in a stage-structured predator-prey model with maturation delay
《International Journal of Biomathematics》2014年第4期121-137,共17页Jia Liu 
In this paper, we investigate the impact of maturation delay on the positive equilibrium solutions in a stage-structured predator prey system. By analyzing the characteristic equation we derive the conditions for the ...
关键词:Time delay Hopf bifurcation limit cycles predator-prey model. 
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