Periodic solution of a bioeconomic fishery model by coincidence degree theory

Satyam Narayan Srivastava; Seshadev Padhi; Alexander Domoshnitsky

doi:10.14232/ejqtde.2023.1.29

Periodic solution of a bioeconomic fishery model by coincidence degree theory

Satyam Narayan Srivastava
, Seshadev Padhi
, Alexander Domoshnitsky

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 (Formula presented) 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. ),.

Original language	English
Article number	29
Journal	Electronic Journal of Qualitative Theory of Differential Equations
Volume	2023
DOIs	https://doi.org/10.14232/ejqtde.2023.1.29
State	Published - 2023

Keywords

coincidence degree theory
existence of solutions
periodic solution

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10.14232/ejqtde.2023.1.29

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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 (Formula presented) 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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AU - Domoshnitsky, Alexander

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N2 - 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 (Formula presented) 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. ),.

AB - 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 (Formula presented) 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. ),.

KW - coincidence degree theory

KW - existence of solutions

KW - periodic solution

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JO - Electronic Journal of Qualitative Theory of Differential Equations

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Periodic solution of a bioeconomic fishery model by coincidence degree theory

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Keywords

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