Analysis of a vector-bias malaria transmission model with application to Mexico, Sudan and Democratic Republic of the Congo
type: Item
instance of: scholarly article
title: Analysis of a vector-bias malaria transmission model with application to Mexico, Sudan and Democratic Republic of the Congo
zbMATH Open document ID: 1461.92118
author: Mojeeb AL-Rahman EL-Nor Osman
author: Jinhui Li
published in: Journal of Theoretical Biology
publication date: 2019-02-06T00:00:00Z
review text: This paper studies a vector-bias malaria transmission model with application to Mexico, Sudan and Democratic Republic of the Congo. Exposed class in host population and vector are feature in the disease model, which has different incidence rates. Local stability and global stability of the disease-free and endemic equilibria have been studied. The corresponding basic reproduction numbers for various incidence rates are derived. The malaria data of the three countries has been fitted with the model and the evolution of the disease for the next ten years is predicted based on the model and data. It reveals that the malaria would eradicate in Mexico but be endemic in Sudan and Congo. The sensitivity analysis of the basic reproduction number shows that the mosquito biting rate is the most sensitive parameter.
reviewed by: Yilun Shang
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D23
zbMATH DE Number: 7013692
zbMATH Keywords: mathematical model
zbMATH Keywords: transmission dynamics
zbMATH Keywords: stability analysis
zbMATH Keywords: sensitivity analysis
zbMATH Keywords: control strategies
MaRDI profile type: Publication
full work available at URL: j.jtbi.2018.12.033
OpenAlex ID: W2905749102
Wikidata QID: Q64360514
cites work: Mathematical modeling of immunity to malaria
cites work: Stochastic epidemic models: a survey
cites work: Analysis of a malaria model with mosquito host choice and bed-net control
cites work: Stability and bifurcation analysis of a vector-bias model of malaria transmission
cites work: Global properties of vector-host disease models with time delays
cites work: Environmental variability in a stochastic epidemic model
cites work: Complex dynamics of a host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment
cites work: A stochastic SIRS epidemic model with nonlinear incidence rate
cites work: Fish-hook bifurcation branch in a spatial heterogeneous epidemic model with cross-diffusion
cites work: Analysis of a vector-bias model on malaria transmission
cites work: The global dynamics for a stochastic SIS epidemic model with isolation
cites work: Bifurcation Analysis of a Mathematical Model for Malaria Transmission
cites work: Determining important parameters in the spread of malaria through the sensitivity analysis of a mathematical model
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
cites work: Stability and backward bifurcation in a malaria transmission model with applications to the control of malaria in China
cites work: Differential equation models of some parasitic infections: Methods for the study of asymptotic behavior
cites work: Analysis of a vector-bias effect in the spread of malaria between two different incidence areas
cites work: A Geometric Approach to Global-Stability Problems
cites work: The effect of incidence function in backward bifurcation for malaria model with temporary immunity
cites work: A Periodic Vector-Bias Malaria Model with Incubation Period
cites work: The threshold of a periodic stochastic SIVS epidemic model with nonlinear incidence
DOI: 10.1016/J.JTBI.2018.12.033
description: scientific article; zbMATH DE number 7013692