Stochastic modeling of a mosquito-borne disease
Loading...
Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Springer Nature
Abstract
We present and analyze a stochastic differential equation (SDE) model for the population dynamics of a mosquito-borne infectious disease. We prove the solutions to be almost surely positive and global. We introduce a numerical invariant R of the model with R<1 being a condition guaranteeing the almost sure stability of the disease-free equilibrium. We show that stochastic perturbations enhance the stability of the disease-free equilibrium of the underlying deterministic model. We illustrate the main stability theorem through simulations and show how to obtain interval estimates when making forward projections. We consulted a wide range of literature to find relevant numerical parameter values.
Description
Keywords
SDE model, Basic reproduction number, Exponential stability, Malaria, Extinction
Citation
Abiodun, G.J. (2020). Stochastic modeling of a mosquito-borne disease. Advances in Difference Equations, 2020(1),347.