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Stage-structured cannibalism with delay in maturation and harvesting of an adult predator
- Source :
- Journal of Biological Physics. 39:37-65
- Publication Year :
- 2012
- Publisher :
- Springer Science and Business Media LLC, 2012.
-
Abstract
- 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.
- Subjects :
- Hopf bifurcation
Original Paper
Food Chain
Ecology
Biophysics
Cannibalism
Cell Biology
Biology
Critical value
Models, Biological
Atomic and Molecular Physics, and Optics
Perciformes
Predation
symbols.namesake
Food chain
Exponential stability
Predatory Behavior
symbols
Animals
Quantitative Biology::Populations and Evolution
Biological system
Molecular Biology
Predator
Trophic level
Subjects
Details
- ISSN :
- 15730689 and 00920606
- Volume :
- 39
- Database :
- OpenAIRE
- Journal :
- Journal of Biological Physics
- Accession number :
- edsair.doi.dedup.....8764d92b1c58d9c92db59cf973b92e01