Global Existence of Solution for Reaction Diffusion Systems with a Full Matrix of Diffusion Coefficients
نویسنده
چکیده
The goal of this work is to study the global existence in time of solutions for somecoupled systems of reaction diffusion which describe the spread within a population of infectiousdisease. We consider a full matrix of diffusion coefficients and we show the global existence of thesolutions.Full text References[1] N. D. Alikakos, L-Bounds of Solutions of Reaction-Diffusion Equations,Comm. Partial. Differential. Equations 4 (1979), 827-868. MR0537465.Zbl 0421.35009.[2] C. Castillo-Chavez, K. Cook, W. Huang and S. A. Levin, On the role of longincubation periods in the dynamics of acquires immunodeficiency syndrome,AIDS, J. Math. Biol. 27 (1989) 373-398. MR1009897. Zbl 0715.92029. [3] E. L. Cussler, Multicomponent diffusion, Chemical Engineering Monographs 3Elsevier Scientific Publishing Company, Amsterdam, 1976. [4] A. Haraux and A.Youkana, On a Result of K. Masuda Concerning Reaction-Diffusion Equations, Tohoku. Math. J. 40 (1988), 159-163. MR0927083.Zbl 0689.35041.[5] D. Henry, Theory of Semi-Linear Parabolic Equations, Lecture Notes in Math.840, Springer Verlas, New York, 1984. 2010 Mathematics Subject Classification: 35K45; 35K57.
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