Nonlinear Analysis: Modelling and Control
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.
Wanduku, Divine, Broderick O. Oluyede.
"Some asymptotic properties of SEIRS models withnonlinear incidence and random delays."
Nonlinear Analysis: Modelling and Control, 25 (3): 461-481: Vilnius University Press.
doi: https://doi.org/10.15388/namc.2020.25.16660 source: https://doi.org/10.15388/namc.2020.25.16660