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Non-selective harvesting in prey–predator models with delay

✍ Scribed by T.K. Kar; U.K. Pahari

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
161 KB
Volume
11
Category
Article
ISSN
1007-5704

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✦ Synopsis

In this paper we are interested in studying the combined effects of harvesting and time delay on the dynamics of the generalized Gause type predator-prey models. It is shown that in these models the time delay may cause a stable equilibrium to become unstable and even a switching of stabilities, on the other hand harvesting effort has a stabilizing effect on the equilibrium if it is under the critical harvesting effort level. Simulations are carried out to explain some of the mathematical conclusions.

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✍ S.Roy Choudhury 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 945 KB

The stability of the fixed-points of general predator-prey models with Volterra-type distributed delays in the interspecies interaction terms is considered. For general functional forms of prey birth rate and predator death rate and the weak generic kernel or memory function aexp(-at). a supercritic