OPTIMAL CONTROL OF THE SPREAD OF MALARIA SUPERINFECTIVITY-Reference-Cited by-同舟云学术

OPTIMAL CONTROL OF THE SPREAD OF MALARIA SUPERINFECTIVITY

Published:2013-12 Issue:04 Volume:21 Page:1340002
ISSN:0218-3390
Container-title:Journal of Biological Systems
language:en
Short-container-title:J. Biol. Syst.

Author:

AGUSTO FOLASHADE¹,LENHART SUZANNE²

Affiliation:

1. Department of Mathematics and Statistics, Austin Peay State University, Clarksville, TN 37044, USA

2. Department of Mathematics, University of Tennessee, Knoxville, 37996-1320, TN, USA

Abstract

Malaria is a life-threatening disease caused by parasites that are transmitted to people through the bites of infected mosquitoes. In this paper, a deterministic model for malaria transmission, that incorporates superinfection is presented. Qualitative analysis of the model reveals the presence of backward bifurcation in which a stable disease-free equilibrium co-exists with a stable endemic equilibrium when the associated reproduction threshold is less than unity. Optimal control theory is then applied to the model to study time-dependent treatment efforts to minimize the infected in individuals while keeping the implementation cost at a minimum.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology,Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218339013400020

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