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22 Nov 2012
Stagestructured cannibalism with delay in maturation and harvesting of an adult predator
 Joydeb Bhattacharyya,
 Samares Pal
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A threedimensional stagestructured predator–prey model is proposed and analyzed to study the effect of predation and cannibalism of the organisms at the highest trophic level with nonconstant harvesting. Time lag in maturation of the predator is introduced in the system and conditions for local asymptotic stability of steady states are derived. The length of the delay preserving the stability is also estimated. Moreover, it is shown that the system undergoes a supercritical Hopf bifurcation when the maturation time lag crosses a certain critical value. Computer simulations have been carried out to illustrate various analytical results.
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 Title
 Stagestructured cannibalism with delay in maturation and harvesting of an adult predator
 Journal

Journal of Biological Physics
Volume 39, Issue 1 , pp 3765
 Cover Date
 20130101
 DOI
 10.1007/s1086701292846
 Print ISSN
 00920606
 Online ISSN
 15730689
 Publisher
 Springer Netherlands
 Additional Links
 Topics
 Keywords

 Stagestructured population dynamics
 Cannibalism
 Maturation delay
 Harvesting
 Industry Sectors
 Authors

 Joydeb Bhattacharyya ^{(1)}
 Samares Pal ^{(1)}
 Author Affiliations

 1. Department of Mathematics, University of Kalyani, Kalyani, 741235, India