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Some Asymptotic Properties Of Seirs Models Withnonlinear Incidence And Random Delays, Divine Wanduku, Broderick O. Oluyede
Some Asymptotic Properties Of Seirs Models Withnonlinear Incidence And Random Delays, Divine Wanduku, Broderick O. Oluyede
Department of Mathematical Sciences Faculty Publications
This paper presents the dynamics of mosquitoes and humans with general nonlinear incidence rate and multiple distributed delays for the disease. The model is a SEIRS system of delay differential equations. The normalized dimensionless version is derived; analytical techniques are applied to find conditions for deterministic extinction and permanence of disease. The BRN R0* and ESPR E(e–(μvT1+μT2)) are computed. Conditions for deterministic extinction and permanence are expressed in terms of R0* and E(e–(μvT1+μT2)) and applied to a P. vivax malaria scenario. Numerical results are given.