PREDATOR-PREY_MODEL

作品数：131被引量：144H指数：5
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EXISTENCE AND UNIQUENESS OF THE POSITIVE STEADY STATE SOLUTION FOR A LOTKA-VOLTERRA PREDATOR-PREY MODEL WITH A CROWDING TERM被引量：1
《Acta Mathematica Scientia》2020年第6期1961-1980,共20页Xianzhong ZENG Lingyu LIU Weiyuan XIE 
the Hunan Provincial Natural Science Foundation of China(2019JJ40079,2019JJ50160);the Scientific Research Fund of Hunan Provincial Education Department(16A071,19A179);the National Natural Science Foundation of China(11701169)。
This paper deals with a Lotka-Volterra predator-prey model with a crowding term in the predator equation.We obtain a critical value λ1^D(Ω0),and demonstrate that the existence of the predator inΩ0 only depends on t...
关键词：Lotka-Volterra predator-prey model crowding term critical value COEXISTENCE 
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 
ON A MULTI-DELAY LOTKA-VOLTERRA PREDATOR-PREY MODEL WITH FEEDBACK CONTROLS AND PREY DIFFUSION被引量：3
《Acta Mathematica Scientia》2019年第2期429-448,共20页Changyou WANG Nan LI Yuqian ZHOU Xingcheng PU Rui LI 
supported by the Sichuan Science and Technology Program of China(2018JY0480);the Natural Science Foundation Project of CQ CSTC of China(cstc2015jcyjBX0135);the National Nature Science Fundation of China(61503053)
This article is focusing on a class of multi-delay predator-prey model with feedback controls and prey diffusion. By developing some new analysis methods and using the theory of differential inequalities as well as co...
关键词：PREDATOR-PREY model: delay diffusion: PERMANENCE ATTRACTIVITY periodic solution 
FLIP AND N-S BIFURCATION BEHAVIOR OF A PREDATOR-PREY MODEL WITH PIECEWISE CONSTANT ARGUMENTS AND TIME DELAY被引量：1
《Acta Mathematica Scientia》2017年第6期1705-1726,共22页尚随明 田玉 张雅静 
supported by Beijing Higher Education Young Elite Teacher(YETP0458)
In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcatio...
关键词：piecewise constant arguments time delay flip bifurcation N-S bifurcation stability 
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