𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Periodicity in a Delayed Ratio-Dependent Predator–Prey System

✍ Scribed by Meng Fan; Ke Wang


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
96 KB
Volume
262
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


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 a delayed ratio-dependent predator-prey system in a periodic environment.


📜 SIMILAR VOLUMES


Persistence of two prey–one predator sys
✍ 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

About deterministic extinction in ratio-
✍ C. Jost; O. Arino; R. Arditi 📂 Article 📅 1999 🏛 Springer 🌐 English ⚖ 205 KB

Ratio-dependent predator-prey models set up a challenging issue regarding their dynamics near the origin. This is due to the fact that such models are undefined at (0, 0). We study the analytical behavior at (0, 0) for a common ratio-dependent model and demonstrate that this equilibrium can be eithe

Convergence Results in a Well-Known Dela
✍ Edoardo Beretta; Yang Kuang 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 165 KB

In this paper, we provide a detailed and explicit procedure of obtaining some Ž . regions of attraction for the positive steady state assumed to exist of a well known Lotka᎐Volterra type predator-prey system with a single discrete delay. Our procedure requires the delay length to be small. A detaile

Global Qualitative Analysis for a Ratio-
✍ Sanyi Tang; Lansun Chen 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 147 KB

A ratio-dependent predator-prey model with time lag for predator is proposed and analyzed. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibria, permanence, and stability are analyzed. We note that for a ratio-dependent system local asymptotic st