Dynamics of toxoplasmosis in the cat's population with an exposed stage and a time delay-Reference-Cited by-同舟云学术

Dynamics of toxoplasmosis in the cat's population with an exposed stage and a time delay

Published:2022 Issue:12 Volume:19 Page:12655-12676
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Sultana Sharmin¹,González-Parra Gilberto¹,Arenas Abraham J.²

Affiliation:

1. Department of Mathematics, New Mexico Tech, New Mexico, 87801, USA

2. Departamento de Matemáticas y Estadística, Universidad de Córdoba, Montería, Colombia

Abstract

<abstract><p>We propose a new mathematical model to investigate the effect of the introduction of an exposed stage for the cats who become infected with the T. gondii parasite, but that are not still able to produce oocysts in the environment. The model considers a time delay in order to represent the duration of the exposed stage. Besides the cat population the model also includes the oocysts related to the T. gondii in the environment. The model includes the cats since they are the only definitive host and the oocysts, since they are relevant to the dynamics of toxoplasmosis. The model considers lifelong immunity for the recovered cats and vaccinated cats. In addition, the model considers that cats can get infected through an effective contact with the oocysts in the environment. We find conditions such that the toxoplasmosis disease becomes extinct. We analyze the consequences of considering the exposed stage and the time delay on the stability of the equilibrium points. We numerically solve the constructed model and corroborated the theoretical results.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

Reference86 articles.

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