A chemical reaction network of a predator-prey model with the SEIR and the SEIRS epidemic in the prey population.

Autor: Gurova, S.-M., Lazarova, M.
Předmět:
Zdroj: AIP Conference Proceedings; 2023, Vol. 2953 Issue 1, p1-16, 16p
Abstrakt: A predator-prey model with an epidemic model of SEIR (Susceptible-Exposed-Infected-Recovered) and SIERS (Susceptible-Exposed-Infected-Recovered-Susceptible) in the prey population is introduced. The epidemic disease had been described by the SEIR and the SEIRS models. A logistical growth function appears in the susceptible prey population. The predation function is given in the five nonlinear ordinary differential equations. They present the dynamics' of the species' population. The main focus of this article is to propose an eco-epidemiological model that can be implemented by a chemical reaction network. The studied chemical reaction network is a mathematical-chemical apparatus through which a parallel between the change of reactant concentrations and the dynamics of the populations can be made. The authors present a chemical reaction network which describes the considered model indicating the obtained differential equations. The main law that is used is the law of mass action kinetics. Some numerical experiments are given. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index