title: Intra-specific competition in predator can promote the coexistence of an eco-epidemiological model with strong Allee effects in prey.
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.
authors.affiliation: School of Advanced Sciences, Vellore Institute of Technology, Near Katpadi Rd, Vellore 632014, India. Electronic address: sourav.sasmal@vit.ac.in.
authors.forename: Sourav Kumar
authors.initials: SK
authors.lastname: Sasmal
authors.affiliation: Science and Mathematics Faculty, College of Letters and Sciences, Arizona State University, Mesa, AZ 85212, USA. Electronic address: yun.kang@asu.edu.
authors.forename: Yun
authors.initials: Y
authors.lastname: Kang
authors.affiliation: Agricultural and Ecological Research Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata 700108, India. Electronic address: joydev@isical.ac.in.
authors.forename: Joydev
authors.initials: J
authors.lastname: Chattopadhyay
mesh_terms: D000818:Animals; D017753:Ecosystem; D008962:Models, Theoretical; D011235:Predatory Behavior; D013045:Species Specificity
keywords: Allee effect; Eco-epidemiological system; Functional response; Stability analysis