Global Stability of a Time-delayed Malaria Model with Standard Incidence Rate.
Acta Math Appl Sin
; 39(2): 211-221, 2023.
Article
en En
| MEDLINE
| ID: mdl-37082350
ABSTRACT
A four-dimensional delay differential equations (DDEs) model of malaria with standard incidence rate is proposed. By utilizing the limiting system of the model and Lyapunov direct method, the global stability of equilibria of the model is obtained with respect to the basic reproduction number R 0. Specifically, it shows that the disease-free equilibrium E 0 is globally asymptotically stable (GAS) for R 0 < 1, and globally attractive (GA) for R 0 = 1, while the endemic equilibrium E* is GAS and E 0 is unstable for R 0 > 1. Especially, to obtain the global stability of the equilibrium E* for R 0 > 1, the weak persistence of the model is proved by some analysis techniques.
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1
Colección:
01-internacional
Base de datos:
MEDLINE
Tipo de estudio:
Incidence_studies
/
Risk_factors_studies
Idioma:
En
Revista:
Acta Math Appl Sin
Año:
2023
Tipo del documento:
Article