Ecoepidemic models with prey group defense and feeding saturation
نویسندگان
چکیده
In this paper we consider a model for the herd behavior of prey, that are subject to attacks by specialist predators. The latter are affected by a transmissible disease. With respect to other recently introduced models of the same nature, we focus here our attention to the possible feeding satiation phenomenon. The system dynamics is thoroughly investigated, to show the occurrence of several types of bifurcations. In addition to the transcritical and Hopf bifurcation that occur commonly in predator–prey system also a zero-Hopf and a global bifurcation occur. The Hopf and the global bifurcation occur only in the diseasefree (so purely demographic) system. The latter is a heteroclinic connection for the between saddle equilibrium points where a stable limit cycle is disrupted and where the system disease-free collapses while in a parameter space region the endemic system exists stably. 2015 Elsevier B.V. All rights reserved.
منابع مشابه
An ecoepidemic model with diseased predators and prey group defense
In this paper we consider a prey population that gathers in herds, together with its interactions with predators. The latter are affected by a disease, and only the healthy individuals hunt. The defensive attitude of the prey is reflected in the fact that mostly the individuals at the border of the herd suffer from the attacks of the predators. Equilibria and their stability are fully analysed....
متن کاملEcoepidemic predator-prey model with feeding satiation, prey herd behavior and abandoned infected prey.
In this paper we analyse a predator-prey model where the prey population shows group defense and the prey individuals are affected by a transmissible disease. The resulting model is of the Rosenzweig-MacArthur predator-prey type with an SI (susceptible-infected) disease in the prey. Modeling prey group defense leads to a square root dependence in the Holling type II functional for the predator-...
متن کاملGroup Defense in Ecoepidemic Models
s of MMA2013 & AMOE2013, May 27–30, 2013, Tartu, Estonia c © 2013 University of Tartu GROUP DEFENSE IN ECOEPIDEMIC MODELS
متن کاملAn ecoepidemic food chain with the disease at the intermediate trophic level
We consider a three-level food chain in which an epidemics affects the intermediate population. Two models are presented, respectively either allowing for unlimited food supply for the bottom prey, or instead assuming for it a logistic growth. Counterintuitive results related to the paradox of enrichment are obtained, showing that by providing large amounts of food to the bottom prey, the top p...
متن کاملSeasonal changes in icefish diel feeding patterns in Lake Chaohu, a large shallow eutrophic lake of China
Seasonal changes in the diel feeding patterns of the zooplanktivorous icefish (Neosalanx taihuensis), which is an endemic species of China, were studied in the large, shallow eutrophic Lake Chaohu of China during the autumn of 2002 and summer of 2003. The results of the diel feeding rhythm indicate that icefish is a visual particulate feeder. There were large differences in diet composition and...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2015