Global stability of malaria transmission dynamics model with logistic growth
type: Item
instance of: scholarly article
title: Global stability of malaria transmission dynamics model with logistic growth
zbMATH Open document ID: 1417.92176
DOI: 10.1155/2018/5759834
author: Abadi Abay Gebremeskel
published in: Discrete Dynamics in Nature and Society
publication date: 2019-02-20T00:00:00Z
review text: Summary: Mathematical models become an important and popular tools to understand the dynamics of the disease and give an insight to reduce the impact of malaria burden within the community. Thus, this paper aims to apply a mathematical model to study global stability of malaria transmission dynamics model with logistic growth. Analysis of the model applies scaling and sensitivity analysis and sensitivity analysis of the model applied to understand the important parameters in transmission and prevalence of malaria disease. We derive the equilibrium points of the model and investigated their stabilities. The results of our analysis have shown that if \(R_0 \leq 1\), then the disease-free equilibrium is globally asymptotically stable, and the disease dies out; if \(R_0 > 1\), then the unique endemic equilibrium point is globally asymptotically stable and the disease persists within the population. Furthermore, numerical simulations in the application of the model showed the abrupt and periodic variations.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D23
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 7026627
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/5759834
OpenAlex ID: W2794732950
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description: scientific article; zbMATH DE number 7026627