A model of Gambian sleeping sickness with open vector populations

• Published in: IMA journal of mathematics applied in medicine and biology Vol. 18; no. 2; p. 99
• Main Authors: Artzrouni, M, Gouteux, J P
• Format: Journal Article
• Language: English
• Published: England 01.06.2001
• Subjects: Animals; Computer Simulation; Gambia - epidemiology; Humans; Insect Vectors - growth & development; Insect Vectors - parasitology; Models, Biological; Rural Population; Trypanosoma brucei brucei - growth & development; Trypanosomiasis, African - epidemiology; Trypanosomiasis, African - transmission; Tsetse Flies - growth & development; Tsetse Flies - parasitology; Gambia

A compartmental model of Gambian sleeping sickness is described that takes into account density-dependent migratory flows of infected flies. Equilibrium and stability theorems are given which show that with a basic reproduction number R0 below unity, then in the absence of reinvasion the disease goe...