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Population models with diffusion, strong Allee effect and constant yield harvesting |
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| Authors: | Jaffar Ali Kellan Wampler |
| Affiliation: | a Department of Mathematics, Florida Gulf Coast University, Fort Myers, FL 33965, USA b Department of Mathematics and Statistics, Center for Computational Sciences, Mississippi State University, Mississippi State, MS 39762, USA c Rose-Hulman Institute of Technology, Terre Haute, IN 47803, USA |
| Abstract: | We study the steady state distribution of reaction diffusion equations with strong Allee effect type growth and constant yield harvesting (semipositone) in heterogeneous bounded habitats. Assuming the exterior of the habitat is completely hostile, we establish existence results for positive solutions. We also establish a multiplicity result for the non-harvested case. We obtain our results via the method of sub-super solutions. |
| Keywords: | Semipositone Allee effect Harvesting |
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