Ecoepidemiological model and analysis of MSV disease transmission dynamics in maize plant
type: Item
instance of: scholarly article
title: Ecoepidemiological model and analysis of MSV disease transmission dynamics in maize plant
zbMATH Open document ID: 1486.92196
DOI: 10.1155/2019/7965232
author: Haileyesus Tessema Alemneh
author: O. D. Makinde
author: David Mwangi Theuri
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2019-02-27T00:00:00Z
review text: Summary: In this paper, an ecoepidemiological deterministic model for the transmission dynamics of maize streak virus (MSV) disease in maize plant is proposed and analysed qualitatively using the stability theory of differential equations. The basic reproduction number with respect to the MSV free equilibrium is obtained using next generation matrix approach. The conditions for local and global asymptotic stability of MSV free and endemic equilibria are established. The model exhibits forward bifurcation and the sensitivity indices of various embedded parameters with respect to the MSV eradication or spreading are determined. Numerical simulation is performed and dispalyed graphically to justify the analytical results.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 92C80
Mathematics Subject Classification ID: 37N25
zbMATH DE Number: 7029967
zbMATH Keywords: ecoepidemiological deterministic model
zbMATH Keywords: endemic equilibria
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2019/7965232
OpenAlex ID: W2910260767
cites work: Q4399827
cites work: Solving ratio-dependent predator-prey system with constant effort harvesting using Adomian decomposition method
cites work: Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
cites work: Mathematical approaches for emerging and reemerging infectious diseases: Models, methods, and theory. Proceedings of a workshop, integral part of the IMA program on mathematics in biology
cites work: Q4141027
cites work: Dynamical models of tuberculosis and their applications
cites work: Sensitivity and Uncertainty Analysis of Complex Models of Disease Transmission: An HIV Model, as an Example
Recommended article: Q4399827
Recommended article: Analysis of a mathematical model arising in plant disease epidemiology
Recommended article: Modelling and Analysis of Pathogens Impact on the Plant Disease Transmission with Optimal Control
Recommended article: Q4806930
Recommended article: Application of Mathematical Epidemiology to Crop Vector-Borne Diseases: The Cassava Mosaic Virus Disease Case
Recommended article: Global dynamic analysis of a vector-borne plant disease model
Recommended article: Modeling the transmission dynamics of plant viral disease using two routes of infection, nonlinear terms and incubation delay
Recommended article: Modelling the effect of incubation and latent periods on the dynamics of vector-borne plant viral diseases
Recommended article: GLOBAL ANALYSIS FOR AN EPIDEMICAL MODEL OF VECTOR-BORNE PLANT VIRUSES WITH DISEASE RESISTANCE AND NONLINEAR INCIDENCE
Recommended article: Disease outbreaks in plant-vector-virus models with vector aggregation and dispersal
description: scientific article; zbMATH DE number 7029967