Local Stability Analysis of COVID-19 Dynamics of a SIR Model with Non-Linear Transmission Rates

• Autores: Huapaya Quispe, Javier, Barahona Mart´ınez, Willy, De La Cruz Marcacuzco, Roc´ıo
• Formato: artículo
• Fecha de Publicación: 2021
• Institución: Universidad Nacional Mayor de San Marcos
• Repositorio: Revistas - Universidad Nacional Mayor de San Marcos
• Lenguaje: español
• OAI Identifier: oai:ojs.csi.unmsm:article/21869
• Enlace del recurso: https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/21869
• Nivel de acceso: acceso abierto
• Materia: SIR model; Stability; Basic Reproduction Number; Routh Hurwitz Criterion; Next Generation Matrix; Numerical Simulation; Modelo SIR; Estabilidad; N´umero B´asico de Reproducci´on; Criterio de Routh Hurwitz; Matriz de la Pr´oxima Generaci´on; Simulaci´on Num´erica

In this paper, we consider a modified SIR model, implementing a population of Pathogens interacting with a human population of Susceptibles, with which we will have 4 ordinary differential equations in our system. The objective of this work is to analyze the stability of the disease free point (local and global) and the endemic equilibrium point (local) of this mathematical model. In addition, numerical simulations to the model are presented to contrast the effects of nonlinear transmission rates and other parameters.