A Michaelis–Menten type food chain model with strong Allee effect on the prey
| Autor: | Alakes Maiti, Debasis Manna, G. P. Samanta |
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| Rok vydání: | 2017 |
| Předmět: |
0106 biological sciences
Hopf bifurcation Equilibrium point Extinction Applied Mathematics 010603 evolutionary biology 01 natural sciences Stability (probability) Michaelis–Menten kinetics Predation 010101 applied mathematics Computational Mathematics Food chain symbols.namesake Control theory symbols Quantitative Biology::Populations and Evolution Applied mathematics 0101 mathematics Mathematics Allee effect |
| Zdroj: | Applied Mathematics and Computation. 311:390-409 |
| ISSN: | 0096-3003 |
| DOI: | 10.1016/j.amc.2017.05.040 |
| Popis: | Dynamical behaviours of a tritrophic food chain model with strong Allee effect in the prey are studied in this paper. Positivity and boundedness of the system are discussed. Some global results on extinction of the species are derived. Stability analysis of the equilibrium points is presented. The effect of discrete time-delay is studied, where the delay may be regarded as the gestation period of the superpredator. Numerical simulations are carried out to validate our analytical findings. Implications of our analytical and numerical findings are discussed critically. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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