PREDATOR-PREY

作品数：130被引量：181H指数：5
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Global Stability of A Stochastic Predator-prey Model with Stage-structure
《Chinese Quarterly Journal of Mathematics》2017年第4期425-431,共7页BAI Hong-fang XU Rui 
Supported by the National Natural Science Foundation of China(Nos.11371368);The Natural Science Foundation of HeBei(No.A2014506015)
In this paper, a stochastic predator-prey model with stage structure for predatorand ratio-dependent functional response is concerned. Sufficient conditions for the globalasymptotic stability of positive equilibrium a...
关键词：STOCHASTIC PREDATOR-PREY model STAGE-STRUCTURE global stability Ito's FORMULA 
STABILITY PROPERTY OF A PREDATOR-PREY SYSTEM WITH A CONSTANT PROPORTION OF PREY REFUGE AND STAGE-STRUCTURE FOR PREY SPECIES
《Annals of Applied Mathematics》2017年第3期289-307,共19页Tingting Li 
supported by The National Natural Science Foundation of China(11601085);the Natural Science Foundation of Fujian Province(2017J01400)
A predator-prey system with a constant proportion of prey refuge and stage-structure for prey species is proposed and studied in this paper. A set of conditions for the permanence of the system is obtained. The local ...
关键词：PREDATOR-PREY STAGE-STRUCTURE REFUGE global stability 
Dynamics and pattern formation in a modified Leslie-Gower model with Allee effect and Bazykin functional response
《International Journal of Biomathematics》2017年第5期301-326,共26页Peng Feng 
In this paper, we study the dynamics of a diffusive modified Leslie-Cower model with the multiplicative Allee effect and Ba^zykin functional response. We give detailed study on the stability of equilibria. Non-existen...
关键词：PREDATOR-PREY LESLIE-GOWER Bazykin functional response Turing instability pattern formation global stability. 
STABILITY OF A PREDATOR-PREY SYSTEM WITH PREY TAXIS IN A GENERAL CLASS OF FUNCTIONAL RESPONSES被引量：2
《Acta Mathematica Scientia》2016年第1期62-72,共11页M.YOUSEFNEZHAD S.A.MOHAMMADI 
In this paper, a diffusive predator-prey system with general functional responses and prey-tactic sensitivities is studied. Providing such generality, we construct a Lyapunov function and we show that the positive con...
关键词：PREDATOR-PREY global stability steady state Lyapunov function 
Global stability of a stochastic predator-prey model with Allee effect被引量：4
《International Journal of Biomathematics》2015年第4期37-51,共15页Baodan Tian Liu Yang Shouming Zhong 
Acknowledgments The authors thank the editor and referees for their valuable comments and suggestions. This work is supported by the National Basic Research Program of China （2010CB732501） and the National Natural Science Foundation of China （61273015）, the NSFC Tianyuan Foundation （Grant No. 11226256） and the Zhejiang Provincial Natural Science Foundation of China （Grant No. LY13A010010）, Zhejiang Provincial Natural Science Foundation of China LQ13A010023）.
In this paper, we study a stochastic predator-prey model with Beddington-DeAngelis functional response and Allee effect, and show that there is a unique global positive solution to the system with the positive initial...
关键词：Predator prey model stochastic perturbation Allee effect It5 formula sta-bility. 
Global analysis of Ivlev's type predator-prey dynamic systems
《Applied Mathematics and Mechanics(English Edition)》2007年第4期461-470,共10页肖海滨 
Consider a class of Ivlev＇s type predator-prey dynamic systems with prey and predator both having linear density restricts. By using the qualitative methods of ODE, the global stability of positive equilibrium and ex...
关键词：limit cycle global stability Ivlev＇s type functional response density restrict existence and uniqueness 
POSITIVE EQUILIBRIUM AND ITS STABILITY OF THE BEDDINGTON-DEANGELIS'TYPE PREDATOR-PREY DYNAMICAL SYSTEM被引量：7
《Applied Mathematics(A Journal of Chinese Universities)》2006年第4期429-436,共8页Xiao Haibin Department of Mathematics, Ningbo University, Zhejiang 315211,China Department of Mathematics, Nanjing University, Jiangsu 210093,China. 
Supported by the NNSF of China( 10171044) the Foundation for University Key Teachers of the Ministry of Education of China .
A class of Beddington-DeAngelis＇ type predator-prey dynamic system with prey and predator both having linear density restriction is considered. By using the qualitative methods of ODE, the existence and uniqueness of...
关键词：density restriction Beddington-DeAngelis＇ type functional response global stability limit cycle. 
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