Dynamics between infectious diseases with two susceptibility conditions: A mathematical model.

Abstract:

:This paper presents a novel epidemiological transmission model of a population affected by two different susceptible-infected-susceptible infectious diseases. For each disease, individuals fall into one of the two susceptibility conditions in which one of the diseases has the highest occurrence level. This model is unique in assuming that: (a) if an individual is infected by one disease, their susceptibility to the other disease is increased; (b) when an individual recovers from a disease they become less susceptible to it, i.e. they acquire partial immunity. The model captures these two assumptions by utilizing a coupled system of differential equations. Dynamic analysis of the system is based on basic reproductive number theory, and pattern visualization was performed using numerical simulation.

journal_name

Math Biosci

journal_title

Mathematical biosciences

authors

Gutiérrez-Jara JP,Córdova-Lepe FD,Muñoz-Quezada MT

doi

10.1016/j.mbs.2019.01.005

subject

Has Abstract

pub_date

2019-03-01 00:00:00

pages

66-77

eissn

0025-5564

issn

1879-3134

pii

S0025-5564(18)30545-5

journal_volume

309

pub_type

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