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Fourth Mississippi State Conference on Differential Equations and Computational Simulations
May 21-22, 1999
Mississippi State University and Electronic Journal of Differential Equations
Starkville, MS, USA

Organizers
Ratnasingham Shivaji, Bharat Soni, Jianping Zhu (Program Chair)

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A new model for the population of a highly vagile insect
by
Seth F. Oppenheimer
Department of Mathematics and Statistics, Mississippi State University

We wish to model an insect population in a bounded plane region. The insects will diffuse through the region and deposit eggs as they go. The eggs will hatch new insects. The region is assumed to be surrounded by a population of insects whose population varies with time in a known manner. Insects move into and out of the region in a manner governed by a Robin condition.

We do a complete derivation of the fully age structured version of this model and expect to discuss some special cases of interest to entomologists. This particular work was inspired by the cotton pest Heliothis Virescens.

http://www2.msstate.edu/~seth/

Date received: April 2, 1999

Copyright © 1999 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cacr-55.