Geodesic
Dynamics of a Vector-Borne model with direct transmission and age of infection
Necibe Tuncer1 ; Sunil Giri1
1 Department of Mathematical Sciences, Florida Atlantic University, Science Building, 777 Glades Road, Boca Raton, FL 33431, USA.
Mathematical modelling of natural phenomena, Tome 16 (2021), article no. 28 Cet article a éte moissonné depuis la source EDP Sciences

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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 number ℜ0. 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 when ℜ0 > 1. The disease will persist at the endemic equilibrium whenever the basic reproduction number is greater than one.
DOI : 10.1051/mmnp/2021019

Necibe Tuncer 1 ; Sunil Giri 1

1 Department of Mathematical Sciences, Florida Atlantic University, Science Building, 777 Glades Road, Boca Raton, FL 33431, USA. 
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Necibe Tuncer; Sunil Giri. Dynamics of a Vector-Borne model with direct transmission and age of infection. Mathematical modelling of natural phenomena, Tome 16 (2021), article  no. 28. doi: 10.1051/mmnp/2021019

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