Abstract and Applied Analysis

Stability Analysis of a Vector-Borne Disease with Variable Human Population

Muhammad Ozair, Abid Ali Lashari, Il Hyo Jung, Young Il Seo, and Byul Nim Kim

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Abstract

A mathematical model of a vector-borne disease involving variable human population is analyzed. The varying population size includes a term for disease-related deaths. Equilibria and stability are determined for the system of ordinary differential equations. If R 0 1 , the disease-“free” equilibrium is globally asymptotically stable and the disease always dies out. If R 0 > 1 , a unique “endemic” equilibrium is globally asymptotically stable in the interior of feasible region and the disease persists at the “endemic” level. Our theoretical results are sustained by numerical simulations.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 293293, 12 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393511834

Digital Object Identifier
doi:10.1155/2013/293293

Mathematical Reviews number (MathSciNet)
MR3039186

Zentralblatt MATH identifier
1271.92033

Citation

Ozair, Muhammad; Lashari, Abid Ali; Jung, Il Hyo; Seo, Young Il; Kim, Byul Nim. Stability Analysis of a Vector-Borne Disease with Variable Human Population. Abstr. Appl. Anal. 2013 (2013), Article ID 293293, 12 pages. doi:10.1155/2013/293293. https://projecteuclid.org/euclid.aaa/1393511834


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