American Institute of Mathematical Sciences

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2011, 2011(Special): 1-12. doi: 10.3934/proc.2011.2011.1

Difference approximation for an amphibian juvenile-adult dispersal mode

Azmy S. Ackleh 1, , Keng Deng 1, and  Qihua Huang 2,

1. 

Department of Mathematics, University of Louisiana at Lafayette, Lafayette, Louisiana 70504-1010, United States
2. 

Department of Mathematics, University of Louisiana at Lafayette, Lafayette, LA 70504, United States

Received  July 2010 Revised  April 2011 Published  September 2011

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: existence-uniqueness., implicit finite difference approximation, Juvenile-adult dispersal model.
Mathematics Subject Classification: 35L50, 65M06, 92D25.
Citation: Azmy S. Ackleh, Keng Deng, Qihua Huang. Difference approximation for an amphibian juvenile-adult dispersal mode. Conference Publications, 2011, 2011 (Special) : 1-12. doi: 10.3934/proc.2011.2011.1
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