Population models with diffusion, strong Allee effect and constant yield harvesting

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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. © 2008 Elsevier Inc. All rights reserved.

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Ali, J., Shivaji, R., & Wampler, K. (2009). Population models with diffusion, strong Allee effect and constant yield harvesting. Journal of Mathematical Analysis and Applications, 352(2), 907–913. https://doi.org/10.1016/j.jmaa.2008.11.047

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