Periodic solution of a bioeconomic fishery model by coincidence degree theory

Srivastava, Satyam and Padhi, Seshadev and Domoshnitsky, Alexander (2023) Periodic solution of a bioeconomic fishery model by coincidence degree theory. ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2023 (29). pp. 1-12. ISSN 1417-3875

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Abstract

In this article we use coincidence degree theory to study the existence of a positive periodic solutions to the following bioeconomic model in fishery dynamics dn dt = n r(t) 1− n K − q(t)E n+D , dE dt = E A(t)q(t) α(t) n n+D − q2(t) α(t) n2E (n+D)2 − c(t) , where the functions r,q, A,c and α are continuous positive T-periodic functions. This is the model of a coastal fishery represented as a single site with n(t) is the fish stock biomass, and E(t) is the fishing effort. Examples are given to strengthen our results.

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