Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2013 (2013), Article ID 293293, 12 pages.
Stability Analysis of a Vector-Borne Disease with Variable Human Population
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 , the disease-“free” equilibrium is globally asymptotically stable and the disease always dies out. If , 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.
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 293293, 12 pages.
First available in Project Euclid: 27 February 2014
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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