Effects of Fear and Additional Food in a Delayed Predator–Prey Model
| Autor: | Sudeshna Mondal, G. P. Samanta, Alakes Maiti |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0106 biological sciences
0303 health sciences biology media_common.quotation_subject Biophysics Zoology Vertebrate Affect (psychology) 010603 evolutionary biology 01 natural sciences Field observation Predation 03 medical and health sciences Structural Biology biology.animal Reproduction Molecular Biology 030304 developmental biology media_common |
| Zdroj: | Biophysical Reviews and Letters. 13:157-177 |
| ISSN: | 1793-7035 1793-0480 |
| DOI: | 10.1142/s1793048018500091 |
| Popis: | A field observation on a terrestrial vertebrate has shown that the fear of predators can affect the behavior of prey populations and it can greatly reduce their reproduction. On the other hand, it has been observed that providing additional food to the predator decreases the predatory attack rate and increases the growth rate of the predator. In this paper, we have investigated the dynamical behavior of a predator–prey model incorporating both the effects of fear and additional food. Positivity, uniform boundedness and extinction criteria of the system are studied. Equilibrium points and their stability behaviors are also discussed here. Existence of a Hopf-bifurcation is established by considering the level of fear as bifurcation parameter. The effect of time-delay is discussed, where the delay may be considered as gestation time of the predator. Numerical simulations are performed using MATLAB to verify our analytical findings. |
| Databáze: | OpenAIRE |
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