A STOCHASTIC MODEL FOR THE SPREAD OF HUMAN PLASMODIA

Abdoul KarimDRABO; Frédéric BERE; Sibiri NarcisseDOLEMWEOGO; S. P. Clovis  NITIEMA

Abdoul KarimDRABO Département de Mathématiques de Décision, Université Thomas SANKARA, 12 BP 417 Ouagadougou, Burkina Faso
Frédéric BERE Département de Mathématiques, Ecole Normale Supérieure, 01 BP 1757 Ouagadougou 01, Burkina Faso
Sibiri NarcisseDOLEMWEOGO Département de Mathématiques, Université JosephKI-ZERBO, 03 BP 7021 Ouagadougou, Burkina Faso
S. P. Clovis NITIEMA Département de Mathématiques de Décision, Université Thomas SANKARA, 12 BP 417 Ouagadougou, Burkina Faso

Article ID: 2420

Keywords: Plasmodium falciparum, $\left(S_h L_h I_h R_h S_h-I_v\right)$, model, stochastic differential equations

Abstract

We use stochastic differential equations (SDEs) to model the spread of the malaria parasite through a compartmental model of the type $\left(S_h L_h I_h R_h S_h-I_v\right)$. Considering the transmission rates $\bar{\beta}(t)$ and $\bar{v}(t)$ by introducing standard Brownian motion in order to render the ordinary differential equation into SDE, we obtain the existence and uniqueness of the solution.

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