Global pointwise a priori bounds and large time behaviour for a nonlinear system describing the spread of infectious disease

• Autorzy: M. Kirane
• Języki publikacji: EN

Abstrakty

EN

This paper considers a reaction-diffusion system with biatic diffusion.Existence of a globally bounded solution is proved and its large timebehaviour is given.

Słowa kluczowe

EN

global existence; nonlinear reaction-diffusion system; large time behaviour

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Applicationes Mathematicae
• Rocznik: 1993-1995
• Tom: 22
• Numer: 1
• Strony: 1-9

Daty

wydano

1993

otrzymano

1990-12-11

poprawiono

1992-6-12

Twórcy

autor

M. Kirane

• International Centre for Theoretical Physics, Mathematics Section, P.O. Box 586, I-34100 Trieste, Italy

Bibliografia

• [1] N. D. Alikakos, $L^p$ bounds of solutions of reaction diffusion equations,Comm. Partial Differential Equations 4 (1979), 827-869
• [2] N. T. J. Bailey, The Mathematical Theory of Infectious Diseases, 2nd ed.,Griffin, London, 1975
• [3] V. Capasso, Global solution for a diffusive nonlinear deterministic epidemic model, SIAM J. Appl. Math. 35 (1978), 274-284
• [4] A. Haraux et M. Kirane, Estimations C^1 pour des problèmes paraboliques semi-linéaires, Ann. Fac. Sci.Toulouse 5 (1983), 265-280
• [5] R. Redlinger, Compactness results for time-dependent parabolic systems,J. Differential Equations 64 (1986), 133-153