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Study of an S-I epidemic model with nonlinear incidence rate: Discrete and stochastic version |
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| Authors: | Prasenjit Das Debasis MukherjeeA.K. Sarkar |
| Affiliation: | a The Kidderpore Academy, 35 Ramkamal Street, Kolkata 700 023, India b Department of Mathematics, Vivekananda College, Thakurpukur, Kolkata 700 063, India c Department of Mathematics, Jadavpur University, Kolkata 700 032, India |
| Abstract: | Discrete and stochastic version of a susceptible-infective model system with nonlinear incidence rate is investigated. We observe that the discrete system converges to a unique equilibrium point for certain effective transmission rate of the disease and beyond which stability of the system is disturbed. Stochastic analysis suggests that the model system is globally asymptotically stable in probability for certain strengths of white noise. Numerical simulations are also performed to validate the results. |
| Keywords: | Susceptible-infective model Incidence rate Difference equation Ito stochastic differential equation |
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