A MODEL FOR VECTOR TRANSMITTED DISEASES WITH SATURATION INCIDENCE-Reference-Cited by-同舟云学术

A MODEL FOR VECTOR TRANSMITTED DISEASES WITH SATURATION INCIDENCE

Published:2001-12 Issue:04 Volume:09 Page:235-245
ISSN:0218-3390
Container-title:Journal of Biological Systems
language:en
Short-container-title:J. Biol. Syst.

Author:

ESTEVA LOURDES¹,MATIAS MARIANO¹

Affiliation:

1. Depto. de Matemáticas, Facultad de Ciencias, UNAM, 04510, México, D.F., Mexico

Abstract

A model for a disease that is transmitted by vectors is formulated. All newborns are assumed susceptible, and human and vector populations are assumed to be constant. The model assumes a saturation effect in the incidences due to the response of the vector to change in the susceptible and infected host densities. Stability of the disease free equilibrium and existence, uniqueness and stability of the endemic equilibrium is investigated. The stability results are given in terms of the basic reproductive number R0.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology,Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218339001000414

Reference15 articles.

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