Dynamics of a Vector-Borne model with direct transmission and age of infection

Autor:	Necibe Tuncer, Sunil Giri
Rok vydání:	2021
Předmět:	0301 basic medicine Partial differential equation Applied Mathematics 030231 tropical medicine Dynamics (mechanics) law.invention Term (time) 03 medical and health sciences 030104 developmental biology 0302 clinical medicine Transmission (mechanics) law Modeling and Simulation Vector (epidemiology) Stability theory Applied mathematics Basic reproduction number Incidence (geometry) Mathematics
Zdroj:	Mathematical Modelling of Natural Phenomena. 16:28
ISSN:	1760-6101 0973-5348
DOI:	10.1051/mmnp/2021019
Popis:	In this paper we the study of dynamics of time since infection structured vector born model with the direct transmission. We use standard incidence term to model the new infections. We analyze the corresponding system of partial differential equation and obtain an explicit formula for the basic reproduction numberℜ0. The diseases-free equilibrium is locally and globally asymptotically stable whenever the basic reproduction number is less than one,ℜ0< 1. Endemic equilibrium exists and is locally asymptotically stable whenℜ0> 1. The disease will persist at the endemic equilibrium whenever the basic reproduction number is greater than one.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4a7c9b688dab5131d299ffc66b8f1bb8 https://doi.org/10.1051/mmnp/2021019 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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