American Institute of Mathematical Sciences

Advanced
2006, 3(4): 635-660. doi: 10.3934/mbe.2006.3.635

Modeling shrimp biomass and viral infection for production of biological countermeasures

H. Thomas Banks 1, , V. A. Bokil 1, , Shuhua Hu 1, , A. K. Dhar 2, , R. A. Bullis 2, , C. L. Browdy 3, and  F.C.T. Allnutt 2,

1. 

Center for Research in Scientific Computation, Raleigh, NC 27695-8205, United States, United States
2. 

Advanced Bionutrition Corporation, 6430 Dobbin Road, Columbia, MD 21045, Colombia, Colombia, Colombia
3. 

Marine Resources Research Institute, South Carolina Department of Natural Resources, 217 Ft. Johnson Rd. (P.O. Box 12559), Charleston, SC 29422, United States

Received  December 2005 Revised  April 2006 Published  August 2006

In this paper we develop a mathematical model for the rapid production of large quantities of therapeutic and preventive countermeasures. We couple equations for biomass production with those for vaccine production in shrimp that have been infected with a recombinant viral vector expressing a foreign antigen. The model system entails both size and class-age structure.
Keywords: latently-acutely infected., size/class-age structured population models, shrimp growth/viral pro-gression dynamics.
Mathematics Subject Classification: 92D25, 92D30, 35L60, 65M0.
Citation: H. Thomas Banks, V. A. Bokil, Shuhua Hu, A. K. Dhar, R. A. Bullis, C. L. Browdy, F.C.T. Allnutt. Modeling shrimp biomass and viral infection for production of biological countermeasures. Mathematical Biosciences & Engineering, 2006, 3 (4) : 635-660. doi: 10.3934/mbe.2006.3.635
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