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Difference approximation for an amphibian juvenile-adult dispersal mode

Pages: 1 - 12, Issue Special, September 2011

 Abstract        Full Text (140.6K)              

Azmy S. Ackleh - Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010, United States (email)
Keng Deng - Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010, United States (email)
Qihua Huang - Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, United States (email)

Abstract: We consider an amphibian juvenile-adult population dispersing between ponds. We assume that juveniles (tadpoles) are structured by age and adults (frogs) are structured by size. This leads to a system of first order nonlocal hyperbolic equations. A finite difference approximation to this system is developed. Existence-uniqueness of the weak solution to the system is established and convergence of the finite difference approximation to the unique solution is proved.

Keywords:  Juvenile-adult dispersal model, implicit finite difference approximation, existence-uniqueness.
Mathematics Subject Classification:  35L50, 65M06, 92D25

Received: July 2010;      Revised: April 2011;      Published: September 2011.