Hunting Cooperation in a Discrete-Time Predator-Prey System

The present paper mainly investigates the impact of hunting cooperation in a discrete-time predator–prey system through numerical simulations. We show that without hunting cooperation, an increase ...

[1]  G. Uetz,et al.  Foraging strategies of spiders. , 1992, Trends in ecology & evolution.

[2]  Ronald Noë.  A model of coalition formation among male baboons with lighting ability as the crucial parameter , 1994, Animal Behaviour.

[3]  P. Stander,et al.  Cooperative hunting in lions: the role of the individual , 1992, Behavioral Ecology and Sociobiology.

[4]  Shanshan Chen,et al.  Global stability and Hopf bifurcation in a delayed diffusive Leslie-Gower predator-prey System , 2012, Int. J. Bifurc. Chaos.

[5]  En-Guo Gu,et al.  Global bifurcations of Domains of Feasible Trajectories: an Analysis of a Discrete Predator-prey Model , 2006, Int. J. Bifurc. Chaos.

[6]  Christophe Boesch,et al.  Cooperative hunting roles among taï chimpanzees , 2002, Human nature.

[7]  V. Dinets,et al.  Apparent coordination and collaboration in cooperatively hunting crocodilians , 2015 .

[8]  Dean P. Hector,et al.  Cooperative Hunting and its Relationship to Foraging Success and Prey Size in an Avian Predator , 2010 .

[9]  J. Bednarz,et al.  Cooperative Hunting Harris' Hawks (Parabuteo unicinctus) , 1988, Science.

[10]  C. Boesch.  Cooperative hunting in wild chimpanzees , 1994, Animal Behaviour.

[11]  Sourav Rana,et al.  Impact of Prey Refuge on a Discrete Time Predator-Prey System with Allee Effect , 2014, Int. J. Bifurc. Chaos.

[12]  Alan M. Wilson,et al.  Group hunting within the Carnivora: physiological, cognitive and environmental influences on strategy and cooperation , 2012, Behavioral Ecology and Sociobiology.

[13]  I. Couzin,et al.  Effective leadership and decision-making in animal groups on the move , 2005, Nature.

[14]  Ludek Berec,et al.  Impacts of Foraging Facilitation Among Predators on Predator-prey Dynamics , 2010, Bulletin of mathematical biology.

[15]  Zhimin He,et al.  Bifurcations and chaos in a two-dimensional discrete Hindmarsh–Rose model , 2014 .

[16]  Peter M. Kappeler,et al.  Cooperation in Primates and Humans , 2006 .

[17]  Mark W. Moffett,et al.  Foraging dynamics in the group-hunting myrmicine ant,Pheidologeton diversus , 1988, Journal of Insect Behavior.

[18]  L. Mech,et al.  Wolf Pack Size And Food Acquisition , 1997, The American Naturalist.

[19]  S. Wanless,et al.  Evidence of intra-specific competition for food in a pelagic seabird , 2001, Nature.

[20]  K. V. Orsdol.  Foraging behaviour and hunting success of lions in Queen Elizabeth National Park, Uganda , 1984 .

[21]  D. Macdonald,et al.  Group size effects in cooperatively breeding African wild dogs , 2010, Animal Behaviour.

[22]  A. Griffin,et al.  Social semantics : altruism , cooperation , mutualism , strong reciprocity and group selection , 2007 .

[23]  Jorge Duarte,et al.  Chaos and crises in a model for cooperative hunting: a symbolic dynamics approach. , 2009, Chaos.

[24]  S. Schreiber.  Allee effects, extinctions, and chaotic transients in simple population models. , 2003, Theoretical population biology.

[25]  Chunqing Wu,et al.  PERMANENCE FOR A DELAYED DISCRETE PREDATOR–PREY MODEL WITH PREY DISPERSAL , 2009 .

[26]  S. Creel,et al.  Communal hunting and pack size in African wild dogs, Lycaon pictus , 1995, Animal Behaviour.

[27]  Zhimin He,et al.  1:2 and 1:4 resonances in a two-dimensional discrete Hindmarsh–Rose model , 2015 .

[28]  R. Trivers,et al.  Haploidploidy and the evolution of the social insect. , 1976, Science.

[29]  K. Hawkes,et al.  why hunters gather: optimal foraging and the Aché of eastern Paraguay , 1982 .

[30]  Ludek Berec,et al.  Multiple Allee effects and population management. , 2007, Trends in ecology & evolution.

[31]  Y. Kuznetsov,et al.  BIFURCATIONS AND CHAOS IN A PERIODIC PREDATOR-PREY MODEL , 1992 .

[32]  Carl T. Bergstrom,et al.  Alarm calls as costly signals of antipredator vigilance: the watchful babbler game , 2001, Animal Behaviour.

[33]  C. Packer,et al.  Group hunting behaviour of lions: a search for cooperation , 1991, Animal Behaviour.

[34]  C. Clark,et al.  The evolutionary advantages of group foraging , 1986 .

[35]  J. Garay.  Cooperation in defence against a predator. , 2009, Journal of theoretical biology.

[36]  R. Bshary,et al.  The interplay of cognition and cooperation , 2010, Philosophical Transactions of the Royal Society B: Biological Sciences.

[37]  Kamel Al-khaled,et al.  Stability and Bifurcation Analysis of a Three-Species Food Chain Model with Delay , 2015, Int. J. Bifurc. Chaos.

[38]  L. Keller,et al.  The evolution of cooperation and altruism – a general framework and a classification of models , 2006, Journal of evolutionary biology.

[39]  F. Hilker,et al.  Hunting cooperation and Allee effects in predators. , 2017, Journal of theoretical biology.