Stability Analysis of a Vector-Borne Disease with Variable Human Population
Keyword(s):
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. IfR0≤1, the disease-“free” equilibrium is globally asymptotically stable and the disease always dies out. IfR0>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.
2014 ◽
Vol 9
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pp. 53-68
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2013 ◽
Vol 06
(02)
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pp. 1350006
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2018 ◽
Vol 2018
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pp. 1-11
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2011 ◽
Vol 2011
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pp. 1-12
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2021 ◽
Vol 2021
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pp. 1-11