Nonlinear Functional Analysis and Applications

  • 제29권3호
  • /
  • Pages.711-738
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  • 2024
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  • 1229-1595(pISSN)
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  • 2466-0973(eISSN)
경남대학교 수학교육과 (Kyungnam University, Department of Mathematics Eduaction)
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SPATIOTEMPORAL EPIDEMIC MODELS FOR RABIES AMONG DOG WITH VACCINATION APPROACH

  • 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 (Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University Casablanca)
  • 투고 : 2023.10.18
  • 심사 : 2024.02.21
  • 발행 : 2024.09.15
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초록

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 vaccination at the onset of an outbreak, effectively controls the disease. Our model highlights the importance of spatial factors in rabies spread and underlines the need for proactive vaccination campaigns, providing valuable insights for public health policy and intervention strategies.

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참고문헌

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