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STUDY OF A DISCRETE CLASS OF SCHISTOSOMIASIS MODELS WITH DELAY AND GENERAL INCIDENCE,
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Discipline: Mathématiques
Auteur(s): HAROUNA OUEDRAOGO*, ALI TRAORE AND ABOUDRAMANE GUIRO
Auteur(s) tagués: OUEDRAOGO Harouna
Renseignée par : OUEDRAOGO Harouna
Résumé

A nonlinear deterministic discrete model for schistosomiasis transmission including delays with general incidence functions is derived. The discrete model is obtained by used the backward Euler method. The basic properties of the model are studied. The basic reproduction number R0 of the model is computed and we established that for R0 1 the disease will persist in the community. Numerical simulations are provided to support the theoretical results.

Mots-clés

Schistosomiasis, discrete mathematical model, Lyapunov function, delays, reproduction number, stability

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