Dynamical analysis on a predator–prey model with stage structure and mutual interference

The Dynamical Analysis of a Delayed Prey-Predator Model with a Refuge-Stage Structure Prey Population

A mathematical model describing the dynamics  of a  delayed  stage structure prey - predator  system  with  prey  refuge  is  considered.  The  existence,  uniqueness  and bounded- ness  of  the  solution  are  discussed.    All  the  feasibl e  equilibrium  points  are determined.  The   stability  analysis  of  them  are  investigated.  By  employ ing  the time delay as the bifurcation parame...

Dynamical behavior of a stage structured prey-predator model

In this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. The stages for prey have been considered. The proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. The model is analyzed by using linear stability analysis to ob...

Dynamical analysis of almost periodic solution for a multispecies predator-prey model with mutual interference and time delays

*Correspondence: [email protected] School of Science, Guilin University of Technology, Guilin, Guangxi 541004, P.R. China Abstract In this paper, we build a multispecies predator-prey model with mutual interference and time delays. By means of the comparison theorem, Ascoli theorem and Lebesgue dominated convergence theorem, we establish the sufficient conditions of permanence and investigate ...

Modelling and analysis of a competitive model with stage structure

K e y w o r d s S t a g e structure, Competition, Global stability, Periodic solution. 1. I N T R O D U C T I O N The classical Lotka-Volterra type competitive system is an important population model and has been studied by many authors (see, for example, [1-9]). The two-species autonomous competitive system is of the form, ~ (t) = ~ (t) b~ ~ a~j~j (t) , i = 1, 2, (1.1) j = l where xi(t) denote...

Permanence of a Discrete Periodic Volterra Model with Mutual Interference