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Stage-structured Harvest Models
  
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KeyWord:Stage structure; Population; Harvesting rate; Holling-II type; Stability
Author NameAffiliation
Meili Li College of Science, Donghua University, Shanghai 201620, China 
Jia Li Center for Applied Mathematics, Guangzhou University, Guangzhou, Guangdong 510006, China
Department of Mathematical Sciences, The University of Alabama in Huntsville, Huntsville, AL 35899, USA 
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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 amount 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.