Stage-structured cannibalism with delay in maturation and harvesting of an adult predator

A three-dimensional stage-structured predator–prey model is proposed and analyzed to study the effect of predation and cannibalism of the organisms at the highest trophic level with non-constant harvesting. Time lag in maturation of the predator is introduced in the system and conditions for local a...

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Bibliographic Details
Published in:Journal of biological physics 2013-01, Vol.39 (1), p.37-65
Main Authors: Bhattacharyya, Joydeb, Pal, Samares
Format: Article
Language:English
Subjects:
Animals
Biochemistry
Biological and Medical Physics
Biophysics
Cannibalism
Complex Fluids and Microfluidics
Complex Systems
Food Chain
Models, Biological
Neurosciences
Original Paper
Perciformes
Physics
Physics and Astronomy
Population genetics
Predation
Predatory Behavior
Soft and Granular Matter
Three dimensional imaging
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Summary:A three-dimensional stage-structured predator–prey model is proposed and analyzed to study the effect of predation and cannibalism of the organisms at the highest trophic level with non-constant 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.
ISSN:0092-0606
1573-0689
DOI:10.1007/s10867-012-9284-6