Year: 2021
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 3 : pp. 385–401
Abstract
We formulate a stage-structured population model where the population is divided to two classes, the juveniles and the adults. Then, we include harvest in the model and assume that the harvesting is only on adults. The cases where the harvesting rate is constant, proportional to the number of adults, or of Holling-II type are studied. While the model dynamics are relatively simple when the harvesting rate is proportional, the model system with a constant or a Holling-II type harvesting rate can have multiple positive equilibria. We explore the existence of all possible equilibria and investigate their stability. We also give numerical examples to confirm our findings.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2021.385
Journal of Nonlinear Modeling and Analysis, Vol. 3 (2021), Iss. 3 : pp. 385–401
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Stage structure Population Harvesting rate Holling-II type Stability.