We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
On a Stochastic Approach to Extensions of the Susceptible-Infected-Susceptible (SIS) Model Applied to Malaria.
- Authors
Drabo, Abdoul Karim; Bere, Frédéric; Nitiema, S. P. Clovis
- Abstract
This work presents a stochastic model of malaria spread. We first calculated the basic reproduction number R 0 of the models S h I h R h S h ‐ S v I v and S h L h I h R h S h ‐ S v L v I v in order to show that the malaria-free equilibrium is asymptotically stable; then, we used a finite Markov chain model to describe the interactions between the different compartments of the model S e L e I e R e S e ‐ S a L a I a R a S a ‐ S v I v . We carried out numerical simulations of our results for two types of transmission zones: a zone with low malaria transmission and an endemic zone. Through these simulations, we first determined the invariant stationary distribution π ∗ of the model, and then, we found that the use of the indoor residual spraying (IRS) method by regular application of insecticides is more effective for the elimination of malaria than the use of long-acting impregnated mosquito nets (LLINs).
- Subjects
MALARIA; BASIC reproduction number; INSECTICIDE application; INSECTICIDES; MOSQUITO nets; MARKOV processes
- Publication
Journal of Applied Mathematics, 2024, Vol 2024, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2024/7555042