Advances in Differential Equations and Control Processes

The Advances in Differential Equations and Control Processes is an esteemed international journal indexed in the Emerging Sources Citation Index (ESCI). It publishes original research articles related to recent developments in both theory and applications of ordinary and partial differential equations, integral equations, and control theory. The journal highlights the interdisciplinary nature of these topics, with applications in physical, biological, environmental, and health sciences, mechanics, and engineering. It also considers survey articles that identify future avenues of advancement in the field.

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A STOCHASTIC MODEL FOR THE SPREAD OF HUMAN PLASMODIA

Authors

  • Abdoul Karim DRABO
  • Frédéric BERE
  • Sibiri Narcisse DOLEMWEOGO
  • S. P. Clovis NITIEMA

Keywords:

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

DOI:

https://doi.org/10.17654/0974324323020

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.

Received: August 7, 2023
Revised: October 6, 2023
Accepted: November 22, 2023

References

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Published

2023-11-30

Issue

Section

Articles

How to Cite

A STOCHASTIC MODEL FOR THE SPREAD OF HUMAN PLASMODIA. (2023). Advances in Differential Equations and Control Processes, 30(4), 363-383. https://doi.org/10.17654/0974324323020

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