Article

Backward bifurcation and optimal control of a vector borne disease

2013-01-01

Abstract excerpt

This paper deals with a simple mathematical model for the transmission dynamics of a vector-borne disease that incorporates both direct and indirect transmission. The model is analyzed using dynamical systems techniques and it reveals the backward bifurcation to occur for some range of parameters. In such cases, the reproduction number does not describe the necessary elimination effort of disease rather the effort...

Topics

Open a Topic to create a Post that cites this publication.

Identifiers and source

Literature Corpus work: 5056e991-e807-5035-9394-cea8d85bdc4d
DOI: 10.12785/amis/070138

Open publication

Related research

Semantic proximity does not establish scientific evidence.

Click a neighbor to travelStep 1 · 12 closest

Backward bifurcation and optimal control of a vector borne diseaseDOI 10.12785/amis/070138Read

Zoonotic visceral leishmaniasis transmission: modeling, backward bifurcation, and optimal controlSemantic proximity Read

Mathematical modeling of dengue virus transmission: exploring vector, vertical, and sexual pathways with sensitivity and bifurcation analysisSemantic proximity Read

Basic reinfection number and backward bifurcationSemantic proximity Read

Mathematical Modeling of Dog Rabies Transmission Dynamics Using Optimal Control AnalysisSemantic proximity Read

ASSESSING THE EFFECTS OF TEMPERATURE AND DENGUE VIRUS LOAD ON DENGUE TRANSMISSIONSemantic proximity Read

Mathematical analysis on the vertical and horizontal transmission dynamics of HIV and Zika virus co-infectionSemantic proximity Read

Mathematical modeling of the effects of vector control, treatment and mass awareness on the transmission dynamics of dengue feverSemantic proximity Read

Bifurcation and Optimal Control Analysis of an HIV/AIDS Model with Saturated Incidence RateSemantic proximity Read

Modeling the co-dynamics of vector-borne infections with the application of optimal control theorySemantic proximity Read

Stability Analysis and Optimal Control on a Multi-Strain Coinfection Model with Amplification and VaccinationSemantic proximity Read

A bifurcation theorem for evolutionary matrix models with multiple traits.Semantic proximity Read

Optimal Control Analysis of Onchocerciasis through Multiple Integrated Control MeasuresSemantic proximity Read