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On a nonlinear nonautonomous predator-prey model with diffusion and distributed delay
In this paper, a nonlinear nonautonomous predator-prey model with diffusion and continuous distributed delay is studied, where all the parameters are time-dependent. The system, which is composed ofExpand
Positive periodic solutions of neutral Lotka-Volterra system with feedback control
  • F. Chen
  • Mathematics, Computer Science
  • Appl. Math. Comput.
  • 1 March 2005
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of neutralExpand
Stability analysis of a prey-predator model with holling type III response function incorporating a prey refuge
TLDR
The purpose of the work is to offer mathematical analysis of the model and to discuss some significant qualitative results that are expected to arise from the interplay of biological forces. Expand
Average conditions for permanence and extinction in nonautonomous Gilpin–Ayala competition model
Abstract In this paper, we consider a general nonautonomous n-species Gilpin–Ayala competitive system, which is more general and more realistic than classical Lotka–Volterra competition model. ByExpand
Almost periodic solution of an impulsive differential equation model of plankton allelopathy
Abstract In this paper, we consider an impulsive differential equation model of plankton allelopathy. Sufficient conditions ensuring the existence of a unique almost periodic solution of the systemExpand
Influence of single feedback control variable on an autonomous Holling-II type cooperative system
Abstract An autonomous two-species Holling-II type cooperative system with single feedback control is considered in this paper. Firstly, by applying the comparison theorem of differential equation,Expand
Global stability of a commensal symbiosis model with feedback controls
TLDR
By constructing a suitable Lyapunov function, it is shown that the positive equilibrium of the system is globally stable, which means that feedback control variables only change the position of thepositive equilibrium and retain its global stability property. Expand
Permanence and global stability of a May cooperative system with strong and weak cooperative partners
In this paper, a May cooperative system with strong and weak cooperative partners is proposed. First, by using differential inequality theory, we obtain the permanence and non-permanence of theExpand
The permanence and global attractivity of Lotka-Volterra competition system with feedback controls
Abstract In this paper, we consider a nonautonomous Lotka–Volterra system with feedback controls. Some averaged conditions for the permanence and global attractivity of this system are obtained. OurExpand
Periodicity in a logistic type system with several delays
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of theExpand
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