Population Models With Delay in Dynamic Environment

Details Population Models With Delay in Dynamic Environment Population Models With Delay in Dynamic Environment

2006-01-05

arxiv.org/abs/math/0601103v2

Mathematics

Dynamical Systems

15 pages

Scientific paper

We study the combined effects of periodically varying carrying capacity and survival rates on the fish population in the ocean (sea). We introduce the Getz type delay differential equation model with a control parameter which describes how fish are harvested. We will modify and extend harvesting model of an exploited fish population to include periodic and rotational harvesting rates. We study the existence of global solutions for the initial value problem, extinction and persistence conditions, and the existence of periodic solutions.

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