𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic Behavior of a Predator–Prey System with Diffusion and Delays

✍ Scribed by Wang Wendi; Ma Zhien

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
161 KB
Volume
206
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper the asymptotic behavior of solutions of a predator᎐prey system is determined. The model incorporates time delays due to gestation and assumes that the prey disperses between two patches of a heterogeneous environment with barriers between patches and that the predator disperses between the patches with no barrier. Conditions are established for the permanence of the populations and the global attractivity of a positive equilibrium.

📜 SIMILAR VOLUMES

Extinction and permanence of the predato
Extinction and permanence of the predator–prey system with stocking of prey and harvesting of predator impulsively
✍ Lingzhen Dong; Lansun Chen; Lihua Sun 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 112 KB

## Abstract In this paper, a predator–prey system with stocking of prey and harvesting of predator impulsively is studied. Here, the prey population is stocked with a constant quantity and the predator population is harvested at a rate proportional to the species itself at fixed moments. Under some

Classical predator–prey system with infe
Classical predator–prey system with infection of prey population—a mathematical model
✍ J. Chattopadhyay; S. Pal; A. El Abdllaoui 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB

## Abstract The present paper deals with the problem of a classical predator–prey system with infection of prey population. A classical predator–prey system is split into three groups, namely susceptible prey, infected prey and predator. The relative removal rate of the susceptible prey due to infe

Persistence of two prey–one predator sys
Persistence of two prey–one predator system with ratio-dependent predator influence
✍ Dipak Kesh; A. K. Sarkar; A. B. Roy 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 95 KB 👁 1 views

In this study, we consider a mathematical model of two competing prey and one predator system where the prey species follow Lotka}Volterra-type dynamics and the predator uptake functions are ratio dependent. We have derived the conditions for existence of di!erent boundary equilibria and discussed t