Intra-specific competition in predator can promote the coexistence of an eco-epidemiological model with strong Allee effects in prey

Sourav Kumar Sasmal, Yun Kang, Joydev Chattopadhyay

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

An eco-epidemiological model with Allee effects and disease in prey has been proposed and analyzed. The proposed model incorporates intra-specific competition in predator due to the limited food source, and assumes standard incidence disease transmission. We analyzed the corresponding submodels with and without the Allee effects to obtain the complete dynamics of the full model. Our results show that our full model shows multi-stability between the planner equilibriums (where the susceptible prey co-exists with infected prey or predator); both the full model and its submodels exhibit the hydra effects caused by the intra-specific competition in predator. We determined the existence of multiple interior attractors and their stability. Our analysis shows that our system has at most two interior equilibria whose stability is either both saddle or one stable with another one saddle. One of the most interesting findings is that the competition in the predator can promote the coexistence of all the three populations. In addition, we discussed how the frequency-dependent transmission differs from the model with the density-dependent transmission and compare the hydra effects observed in our model to other existing models in literature.

Original languageEnglish (US)
Pages (from-to)34-44
Number of pages11
JournalBioSystems
Volume137
DOIs
StatePublished - Nov 1 2015

Fingerprint

Hydra
Allee Effect
Epidemiological Model
Predator
Prey
Coexistence
Food
Saddle
Incidence
Model
Interior
Population
Multistability
Dependent
Attractor

Keywords

  • Allee effect
  • Eco-epidemiological system
  • Functional response
  • Stability analysis

ASJC Scopus subject areas

  • Biochemistry, Genetics and Molecular Biology(all)
  • Applied Mathematics
  • Modeling and Simulation
  • Statistics and Probability

Cite this

Intra-specific competition in predator can promote the coexistence of an eco-epidemiological model with strong Allee effects in prey. / Sasmal, Sourav Kumar; Kang, Yun; Chattopadhyay, Joydev.

In: BioSystems, Vol. 137, 01.11.2015, p. 34-44.

Research output: Contribution to journalArticle

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