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Permanence and extinction of an impulsive single-species model with hereditary effect
Single-species model permanence extinction delay pulse
2010/9/14
In this paper we establish an impulsive single-species model with hereditary effect. Easily verifiable criteria for permanence and extinction of system are derived, respectively. A brief discussion is...
Analysis of a chemotaxis model for multi-species host-parasitoid interactions
Host-parasitoid system chemotaxis model global solution
2010/9/13
This paper deals with a mathematical model of multi-species host-parasitoid interactions recently proposed by Pearce et al. The model consists of five reaction-diffusion-chemotaxis equations. By a fix...
Existence and Global Attractivity of Periodic Solutions in $n$-Species Food-Chain System with Time Delays
Time delay Periodic solution Global attractivity
2008/7/1
A delayed periodic n-species simple food-chain system with Holling type-II functional response is investigated. By means of Gaines and Mawhin's continuation theorem of coincidence degree theory and by...
Periodic Solution of a Nonautonomous Diffusive Food Chain System of Three Species with Time Delays
diffusive food chain system positive periodic solution
2007/12/11
By using the continuation theorem of coincidence degree theory, the existence of a positive periodic solution for a nonautonomous diffusive food chain system of three species. { dx_1(t)/dt = x_1(t)[r_...
BOUNDEDNESS,ASYMPTOTIC BEHAVIOR AND OSCILLATORY PROPERTIES FOR THE MODELS OF SINGLE-SPECIES POPULATION GROWTH WITH IMPULSIVE EFFECT
Impulse differential equations
2007/12/11
In this paper, we obtain the boundedness, asymptotic behavior and oscillatory properties for the single logistic models with impulse effect. Some examples are given to indicate the application of our ...