ASYMPTOTIC BEHAVIOR OF AN AGE-STRUCTURED POPULATION MODEL WITH DIFFUSION

S. M. Bouguima; F. Z. Mehlia

doi:10.11948/2012026

2012 Volume 2 Issue 4

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Article navigation > Journal of Applied Analysis & Computation > 2012 > 2(4): 351-362

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S. M. Bouguima, F. Z. Mehlia. ASYMPTOTIC BEHAVIOR OF AN AGE-STRUCTURED POPULATION MODEL WITH DIFFUSION[J]. Journal of Applied Analysis & Computation, 2012, 2(4): 351-362. doi: 10.11948/2012026

Citation:

S. M. Bouguima, F. Z. Mehlia. ASYMPTOTIC BEHAVIOR OF AN AGE-STRUCTURED POPULATION MODEL WITH DIFFUSION[J]. Journal of Applied Analysis & Computation, 2012, 2(4): 351-362. doi: 10.11948/2012026

ASYMPTOTIC BEHAVIOR OF AN AGE-STRUCTURED POPULATION MODEL WITH DIFFUSION

Department of Mathematics, Faculty of Sciences, University of Tlemcen, B. P. 119, Tlemcen 13000, Algeria

Abstract

Abstract

A reaction-diffusion system with stage-structure is studied. We provide well-posedness of the model and prove that time-dependent solutions evolve either towards a positive equilibrium or to the trivial one. Under suitable conditions, a branch of positive equilibrium is shown to exist.
- Adult-juvenile /
- parabolic equations /
- asymptotic behavior
MSC: 05C38;15A15;05A15;15A18

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References

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