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Volume 11,     Number 4,     Winter 2003

 

COMPETITIVE DYNAMICS IN A MODEL FOR ONCHOCERCIASIS WITH CROSS-IMMUNITY
JIMMY P. MOPECHA AND HORST R. THIEME

Abstract. The interference of human and animal onchocerciasis which have different causative agents but the same vector is investigated by an ordinary differential equations model. The wasting of parasites on the wrong definitive hosts is found to lower the basic reproduction ratios of either disease while cross-immune reactions lead to classical competition phenomena. In particular, competitive exclusion of human onchocerciasis by animal onchocerciasis or visa versa may occur even if the basic reproduction ratios of both diseases exceed one. The zooprophylactic effects of varying the amount of cattle are discussed.

 

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