Impact of Additive Allee Effect on the Dynamics of an Intraguild Predation Model with Specialist Predator
| Autor: | Udai Kumar, Partha Sarathi Mandal |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
0303 health sciences
Ecology Applied Mathematics media_common.quotation_subject Biology 01 natural sciences Competition (biology) 010305 fluids & plasmas Predation 03 medical and health sciences symbols.namesake Modeling and Simulation 0103 physical sciences symbols Quantitative Biology::Populations and Evolution Engineering (miscellaneous) Predator Intraguild predation 030304 developmental biology Allee effect media_common |
| Zdroj: | International Journal of Bifurcation and Chaos. 30:2050239 |
| ISSN: | 1793-6551 0218-1274 |
| DOI: | 10.1142/s0218127420502399 |
| Popis: | Many important factors in ecological communities are related to the interplay between predation and competition. Intraguild predation or IGP is a mixture of predation and competition which is a very basic three-dimensional system in food webs where two species are related to predator–prey relationship and are also competing for a shared prey. On the other hand, Allee effect is also a very important ecological factor which causes significant changes to the system dynamics. In this work, we consider a intraguild predation model in which predator is specialist, the growth of shared prey population is subjected to additive Allee effect and there is Holling-Type III functional response between IG prey and IG predator. We analyze the impact of Allee effect on the global dynamics of the system with the prior knowledge of the dynamics of the model without Allee effect. Our theoretical and numerical analyses suggest that: (1) Trivial equilibrium point is always locally asymptotically stable and it may be globally stable also. Hence, all the populations may go to extinction depending upon initial conditions; (2) Bistability is observed between unique interior equilibrium point and trivial equilibrium point or between boundary equilibrium point and trivial equilibrium point; (3) Multiple interior equilibrium points exist under certain parameters range. We also provide here a comprehensive study of bifurcation analysis by considering Allee effect as one of the bifurcation parameters. We observed that Allee effect can generate all possible bifurcations such as transcritical bifurcation, saddle-node bifurcation, Hopf bifurcation, Bogdanov–Taken bifurcation and Bautin bifurcation. Finally, we compared our model with the IGP model without Allee effect for better understanding the impact of Allee effect on the system dynamics. |
| Databáze: | OpenAIRE |
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