Competitive exclusion in a vector-host epidemic model with distributed delay

• Published in: Journal of biological dynamics Vol. 7; no. sup1; pp. 47 - 67
• Main Authors: Cai, Li-Ming, Martcheva, Maia, Li, Xue-Zhi
• Format: Journal Article
• Language: English
• Published: England Taylor & Francis 01.01.2013
• Subjects: Animals; Basic Reproduction Number; Communicable Diseases - epidemiology; Communicable Diseases - physiopathology; Communicable Diseases - transmission; competitive exclusion; Culicidae; Disease Progression; Disease Susceptibility - epidemiology; Disease Vectors; distributed delay; Epidemics - statistics & numerical data; global stability; Humans; Insect Vectors - parasitology; Lyapunov function; Malaria - parasitology; Models, Biological; Plasmodium - growth & development; Plasmodium - metabolism; Time Factors; vector-host

A multi-strain model of a vector-borne disease with distributed delay in the vector and the host is investigated. It is shown that if the reproduction number of the model ℛ 0 <1, the unique disease-free equilibrium is globally asymptotically stable. Without loss of generality, strain one is assum...