Maintaining Ecosystem and Economic Structure in a Three-Species Dynamical System in Chesapeake Bay

Authors

Maila Hallare, United States Air Force AcademyFollow
Iordanka Panayotova, Christopher Newport UniversityFollow

Publication Date

7-29-2022

Keywords

Mathematical Modeling, Differential Equations, Prey-Predator Dynamics, Bionomic Equilibrium, Maximum Sustainable Yield (MSY), Maximum Economic Yield (MEY)

Disciplines

Applied Mathematics | Dynamic Systems | Ordinary Differential Equations and Applied Dynamics

Abstract

We consider a three-species fish dynamical system in Chesapeake Bay consisting of the Atlantic menhaden as the prey and its two competing predators, the striped bass and the catfish. Building on our previous work in this system, we consider the issue of balancing economic harvesting goals (financial gain for fishermen) with ecological harvesting goals (non-extinction of species). In particular, we investigate the bionomic equilibria, maximum sustainable yield, and the maximum economic yield. Analytical computations and numerical simulations are employed to provide some mathematical guidance on fisheries management policies.

Recommended Citation

Hallare, Maila and Panayotova, Iordanka (2022) "Maintaining Ecosystem and Economic Structure in a Three-Species Dynamical System in Chesapeake Bay," CODEE Journal: Vol. 15, Article 3.
Available at: https://scholarship.claremont.edu/codee/vol15/iss1/3

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