2020
DOI: 10.1088/1402-4896/ab495b
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Dynamics analysis and optimal control strategy for a SIRS epidemic model with two discrete time delays

Abstract: In this paper, a SIRS epidemic model with nonlinear incidence rate, saturated treatment and two time delays is investigated. Firstly, by using the method of regeneration matrix, we have determined the basic regeneration number R 0 and demonstrated the existence of the positive equilibrium point. The permanence of the SIRS epidemic model is obtained by mathematical analysis. Moreover, by selecting time delay as the bifurcation parameter, we discuss the local asymptotic stability of the positive equilibrium poin… Show more

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Cited by 31 publications
(15 citation statements)
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“…Using next generation matrix method [ 39 , 40 ], the reproduction number ( ) can be obtained from the leading eigen value of the matrix where, …”
Section: Model Formulationmentioning
confidence: 99%
“…Using next generation matrix method [ 39 , 40 ], the reproduction number ( ) can be obtained from the leading eigen value of the matrix where, …”
Section: Model Formulationmentioning
confidence: 99%
“…Using next generation matrix method, 48 , 49 can be determined from the maximum eigen value of where, …”
Section: Formulationmentioning
confidence: 99%
“…At present times an extensive investigation [10][11][12][13][14][15][16][17][18][19][20][21][22][23] of the spread of the highly contagious Coronavirus disease with alarming fatality rate is being carried out. Different models exist in epidemiology to forecast and explain the complexities of an epidemic.…”
Section: Introductionmentioning
confidence: 99%