SPATIOTEMPORAL EPIDEMIC MODELS FOR RABIES AMONG DOG WITH VACCINATION APPROACH

Authors

  • Adil El Alami Laaroussi Laboratory of Applied Sciences and Didactics, Higher Normal School Tetouan, Abdelmalek Essaadi University
  • Amine EL Bhih Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University Casablanca
  • Mostafa Rachik Multidisciplinary Research and Innovation Laboratory (LPRI), Moroccan School of Engineering Sciences

Abstract

This study develops an optimal control strategy for canine rabies transmission using a two-dimensional spatiotemporal model with spatial dynamics. Our objective is to minimize the number of infected and exposed individuals while reducing vaccination costs. We rigorously establish the existence of optimal control and provide a detailed characterization. Numerical simulations show that early intervention, in particular timely vaccinationat the onset of an outbreak, effectively controls the disease. Our model highlights the importance of spatial factors in rabies spread and underlinesthe need for proactive vaccination campaigns, providing valuable insights for public healthpolicy and intervention strategies.

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Published

2024-08-27

Issue

Volume 29, Number 3, September 2024

Section

Articles