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Modeling and Stability Analysis Of SIQS Cholera Transmission Dynamics
. Deepti Mokati, V.H. Badshah and Nirmala Gupta School of Studies in Mathematics,Vikram University, Ujjain (M.P.), India Govt. Girls P.G. College,Ujjain(M.P.),India
Abstract
The present paper deals with a Susceptible-Infected-Quarantined-Susceptible mathematical model for cholera transmission dynamics. Find out disease-free and endemic equilibria and basic reproduction number Rq Routh–Hurwitz criteria ,Castillo-Chavez criteria and Dulac’s criterion plus Poincare-Bendixson theorem have been applied for analyzing stability for the considered model . Numerical simulations are also conceded .
Keywords : Quarantine, Reproduction number, Routh–Hurwitz criteria ,Castillo-Chavez criteria.
MSC : 34D20,49J15,92D25,92D30,93D20.
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