Well posedness for rabies disease epidemic models for bovine and bats populations with spatial diffusion

Autores

  • José Paulo Carvalho dos Santos
  • Evandro Monteiro
  • Ana Claudia Pereira

DOI:

https://doi.org/10.5540/03.2023.010.01.0117

Palavras-chave:

Abstract Differential Equations, Rabies disease, SI Model, Semigroup Theory

Resumo

In this paper, we study the well posedness to a SI epidemic models with spatial diffusion for the spreading of Rabies in the Bovine population with Bats how vector. The well-posedness of the model is proved using the Semigroup theory of sectorial operators and existence results for abstract parabolic differential equations.

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Biografia do Autor

José Paulo Carvalho dos Santos

Departamento de Matematica, Universidade Federal de Alfenas, Alfenas, MG

Evandro Monteiro

Departamento de Matematica, Universidade Federal de Alfenas, Alfenas, MG

Ana Claudia Pereira

Departamento de Matematica e Matematica Aplicada, Universidade Federal de Lavras, Lavras, MG

Referências

R. G. Casten. “Stability properties of solutions to systems of Reaction-Diffusion Equations”. In: SIAM J. Appl Math. (1977), pp. 353–364. doi: doi.org/10.1137/0133023.

D. Henry. Geometric Theory of Semilinear Parabolic Equations. Lecture Notes in Mathematics 840. Springer-Verlag Berlin Heidelberg, 1981.

Nakaguchi and K. E. Osaki. “Global existence of solutions to an n-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth and superlinear production”. In: Osaka Journal of Mathematics (2018), pp. 51–70.

K. Noda and K. Osaki. “Global attractor and Lyapunov function for one-dimensional Deneubourg chemotaxis system”. In: Hiroshima Math J. (2019), pp. 251–271. doi: 10 . 32917 / hmj /564106547.

A. Pazy. Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer-Verlag, New-York, 1983.

P. Pongsumpun. “Dynamical model of rabies disease in human and dog”. In: Proceedings of the 4th International Conference on Management Science and Industrial Engineering (2022), pp. 462–466. doi: doi.org/10.1145/3535782.3535843.

S. Ruan. “Spatiotemporal epidemic models for rabies among animals”. In: Infectious disease modelling (2017), pp. 277–287. doi: doi.org/10.1016/j.idm.2017.06.001.

A. Yagi. Abstract Parabolic Evolution Equations and their Applications. Springer Monographs in Mathematics. Springer Science & Business Media, 2009.

S. Zheng Z. Liu. Semigroups Associated With Dissipative Systems. π Research Notes Math. 398. Chapman&Hall/CRC, Boca Raton, 1999.

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Publicado

2023-12-18

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