Control optimal of bioeconomic-epidemiological parasites model of Scomber colias population

Abstract

In this work, we develop and study a mathematical model for the dy- namics of Scomber colias and Thunnus thynnus prey-predator with para- sitic helminths. We search to analyze a bioeconomic model in which both susceptible and infected prey populations Scomber colias are exposed to the predator Thunnus thynnus, with varying degrees of exposure. How- ever, the predator feeds preferentially on the most numerous prey types. This implies a kind of switching from the susceptible class to the infected class, and vice versa, as these two types of prey change in numerical su- periority. So, ...

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