PREDATOR-PREY

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BOUNDEDNESS AND ASYMPTOTIC STABILITY IN A PREDATOR-PREY CHEMOTAXIS SYSTEM WITH INDIRECT PURSUIT-EVASION DYNAMICS被引量：1
《Acta Mathematica Scientia》2022年第3期1035-1057,共23页Shuyan QIU Chunlai MU Hong YI 
supported by the Young Scholars Development Fund of SWPU(202199010087);the Scientific Research Starting Project of SWPU(2021QHZ016);supported by the National Natural Science Foundation of China(11771062and 11971082);the Fundamental Research Funds for the Central Universities(2019CDJCYJ001);Chongqing Key Laboratory of Analytic Mathematics and Applications。
This work explores the predator-prey chemotaxis system with two chemicals {u_(t) = Δu + ∇ ・ (u∇v) + μ_(1)u(1 − u − α_(1)w), x ∈ Ω, t > 0,v_(t )= Δv −α_(1)v + β_(1)w, x ∈ Ω, t > 0,w_(t) = Δw − ξ∇ ・ (w∇z) + ...
关键词：CHEMOTAXIS PREDATOR-PREY BOUNDEDNESS STABILIZATION 
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 
POSITIVE STEADY STATES OF A DIFFUSIVE PREDATOR-PREY SYSTEM WITH PREDATOR CANNIBALISM被引量：3
《Acta Mathematica Scientia》2017年第5期1385-1398,共14页王彪 
partially supported by the National Natural Science Foundation of China(11371286)
The purpose of this paper is to investigate positive steady states of a diffusive predator-prey system with predator cannibalism under homogeneous Neumann boundary conditions. With the help of implicit function theore...
关键词：PREDATOR-PREY existence and nonexistence pattern formation 
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 
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