A Delay Differential Equation Model for Dengue Fever Transmission in Selected Countries of South‐East Asia

作者: Werapong Sakdanupaph , Elvin J. Moore , George Maroulis , Theodore E. Simos

DOI: 10.1063/1.3225441

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摘要: Dengue Fever is a dangerous viral disease that transmitted by female Aedes mosquitoes and common in more than 100 countries the world all of South‐East Asia. Mathematical models transmission are useful for studying causes spread to try develop methods reducing disease. In this paper, mathematical model fever analyzed consisting system four nonlinear differential equations with two time delays. The includes infected humans, infectious mosquitoes. has disease‐free endemic equilibrium points. asymptotic stability points studied analytically. Matlab computer program used obtain numerical solutions both zero nonzero delays range parameter values. It found some reasonable estimates values point asymptotically stable, but approach very slow, suggesting may not be practical importance these Some comparisons made between results actual data Thailand, Malaysia Singapore.

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