A SEIRS model with stochastic transmission :project
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A SEIRS model with stochastic transmission :projectproposal
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SEIRS is a epidemic model with stochastic perturbations on transmission from the susceptible class to the latent and infectious classes we prove the existence of global positive solutions For sufficiently small values of the perturbation parameter we prove the almost surely exponential stability of the diseasefree equilibrium whenever a certain invariant R is below unity Here R R the latter being the basic reproduction number of the underlying deterministic model Biologically the main result has the following significance for a disease model that has an incubation phase of the pathogen A small stochastic perturbation on the transmission rate from
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