The effect of a generalized nonlinear incidence rate on the stochastic SIS epidemic model

Aadil Lahrouz; Adel Settati; Mohamed El Fatini; Abdessamad Tridane

doi:10.1002/mma.6765

The effect of a generalized nonlinear incidence rate on the stochastic SIS epidemic model

Aadil Lahrouz, Adel Settati, Mohamed El Fatini, Abdessamad Tridane

Department of Mathematical Sciences

Research output: Contribution to journal › Letter › peer-review

12 Citations (Scopus)

Abstract

In this paper, we aim to analyze the classical SIS epidemic model with a generalized force of infection (including nonmonotonic cases), where the transmission rate is perturbed by white noise. Using Feller's test for explosions, we prove that the disease dies out with probability one without any restriction on the model parameters.

Original language	English
Pages (from-to)	1137-1146
Number of pages	10
Journal	Mathematical Methods in the Applied Sciences
Volume	44
Issue number	1
DOIs	https://doi.org/10.1002/mma.6765
Publication status	Published - Jan 15 2021

Keywords

Feller's test
SIS epidemic model
nonlinear incidence
stochastic differential equation
threshold dynamics

ASJC Scopus subject areas

General Mathematics
General Engineering

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10.1002/mma.6765

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abstract = "In this paper, we aim to analyze the classical SIS epidemic model with a generalized force of infection (including nonmonotonic cases), where the transmission rate is perturbed by white noise. Using Feller's test for explosions, we prove that the disease dies out with probability one without any restriction on the model parameters.",

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AU - Settati, Adel

AU - El Fatini, Mohamed

AU - Tridane, Abdessamad

PY - 2021/1/15

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N2 - In this paper, we aim to analyze the classical SIS epidemic model with a generalized force of infection (including nonmonotonic cases), where the transmission rate is perturbed by white noise. Using Feller's test for explosions, we prove that the disease dies out with probability one without any restriction on the model parameters.

AB - In this paper, we aim to analyze the classical SIS epidemic model with a generalized force of infection (including nonmonotonic cases), where the transmission rate is perturbed by white noise. Using Feller's test for explosions, we prove that the disease dies out with probability one without any restriction on the model parameters.

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KW - SIS epidemic model

KW - nonlinear incidence

KW - stochastic differential equation

KW - threshold dynamics

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The effect of a generalized nonlinear incidence rate on the stochastic SIS epidemic model

Abstract

Keywords

ASJC Scopus subject areas

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