Food sharing and time budgeting in predator-prey interaction

[1]  Yaming Zhang,et al.  Dynamic of a Delayed Predator-Prey Model with Application to Network’ Users’ Data Forwarding , 2019, Scientific Reports.

[2]  N. Jones.  A selfish origin for human food sharing: Tolerated theft , 1984 .

[3]  A. Bolten,et al.  Food Sharing Between Honeybee Colonies in Flight Cages , 1983 .

[4]  John H. Lawton,et al.  The Ecological Consequences of Shared Natural Enemies , 1994 .

[5]  C. Budd,et al.  Review of ”Piecewise-Smooth Dynamical Systems: Theory and Applications by M. di Bernardo, C. Budd, A. Champneys and P. 2008” , 2020 .

[6]  G. Samanta,et al.  Stochastic prey–predator model with additional food for predator , 2018, Physica A: Statistical Mechanics and its Applications.

[7]  Neil Fenichel.  Geometric singular perturbation theory for ordinary differential equations , 1979 .

[8]  C. Kuehn.  Multiple Time Scale Dynamics , 2015 .

[9]  P. Dutta,et al.  Dispersal-induced synchrony, temporal stability, and clustering in a mean-field coupled Rosenzweig-MacArthur model. , 2015, Chaos.

[10]  Tian Ma,et al.  Bifurcation Theory and Applications , 2005 .

[11]  Bob W. Kooi,et al.  Stabilization and complex dynamics in a predator-prey model with predator suffering from an infectious disease , 2011 .

[12]  P. Marler,et al.  Food calling and audience effects in male chickens, Gallus gallus: their relationships to food availability, courtship and social facilitation , 1994, Animal Behaviour.

[13]  Maoxing Liu,et al.  Endemic Bubbles Generated by Delayed Behavioral Response: Global Stability and Bifurcation Switches in an SIS Model , 2015, SIAM J. Appl. Math..

[14]  B. Beck,et al.  Food transfers in wild and reintroduced golden lion tamarins, Leontopithecus rosalia , 1999, American journal of primatology.

[15]  A. Koenig.  Group size, composition, and reproductive success in wild common marmosets (Callithrix jacchus) , 1995, American journal of primatology.

[16]  G. P. Samanta,et al.  A prey–predator model with refuge for prey and additional food for predator in a fluctuating environment , 2020 .

[17]  F. D. Waal,et al.  Food sharing and reciprocal obligations among chimpanzees , 1989 .

[18]  Frank Schilder,et al.  Recipes for Continuation , 2013, Computational science and engineering.

[19]  R. Karban,et al.  Predator-mediated apparent competition between two herbivores that feed on grapevines , 1994, Oecologia.

[20]  Hans G. Kaper,et al.  Asymptotic analysis of two reduction methods for systems of chemical reactions , 2002 .

[21]  J. Cushing.  An introduction to structured population dynamics , 1987 .

[22]  M. Crandall,et al.  Mathematical Theory of Bifurcation , 1980 .

[23]  G. Wolkowicz,et al.  Sensitivity of the dynamics of the general Rosenzweig–MacArthur model to the mathematical form of the functional response: a bifurcation theory approach , 2018, Journal of mathematical biology.

[24]  Christian Jost,et al.  About deterministic extinction in ratio-dependent predator-prey models , 1999 .

[25]  Courtship feeding, food sharing, or tolerated food theft among paired Red-crested Pochards (Netta rufina)? , 2000, Journal für Ornithologie.

[26]  Michael H. Cortez,et al.  Understanding Rapid Evolution in Predator‐Prey Interactions Using the Theory of Fast‐Slow Dynamical Systems , 2010, The American Naturalist.

[27]  R. Macarthur,et al.  Graphical Representation and Stability Conditions of Predator-Prey Interactions , 1963, The American Naturalist.

[28]  G. Hohmann,et al.  New Records on Prey Capture and Meat Eating by Bonobos at Lui Kotale, Salonga National Park, Democratic Republic of Congo , 2007, Folia Primatologica.

[29]  Ian C. Gilby,et al.  Meat sharing among the Gombe chimpanzees: harassment and reciprocal exchange , 2006, Animal Behaviour.

[30]  J. Silk,et al.  Feeding, foraging, and food sharing behavior of immature chimpanzees. , 1979, Folia primatologica; international journal of primatology.

[31]  G. Samanta,et al.  Dynamics of an additional food provided predator–prey system with prey refuge dependent on both species and constant harvest in predator , 2019, Physica A: Statistical Mechanics and its Applications.

[32]  Farah Aini Abdullah,et al.  Dynamical analysis of a fractional-order Rosenzweig–MacArthur model incorporating a prey refuge , 2018 .

[33]  Michael Ghil,et al.  Bifurcation analysis of an agent-based model for predator–prey interactions , 2015 .

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

[35]  Dongmei Xiao,et al.  Global dynamics of a ratio-dependent predator-prey system , 2001, Journal of mathematical biology.

[36]  Y. V. Bergen,et al.  Begging, stealing, and offering : food transfer in nonhuman primates , 2004 .

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

[38]  Lisa M. Rose.  Vertebrate Predation and Food-Sharing in Cebus and Pan , 1997, International Journal of Primatology.

[39]  M. Aziz-Alaoui,et al.  Canard phenomenon in a slow-fast modified Leslie-Gower model. , 2018, Mathematical biosciences.

[40]  R. Arditi,et al.  Coupling in predator-prey dynamics: Ratio-Dependence , 1989 .

[41]  S. Perry,et al.  Begging and transfer of coati meat by white-faced capuchin monkeys,Cebus capucinus , 1994, Primates.

[42]  B. Kooi,et al.  Analysis of a predator–prey model with specific time scales: a geometrical approach proving the occurrence of canard solutions , 2019, Journal of mathematical biology.

[43]  G. Isaac.  The food-sharing behavior of protohuman hominids. , 1978, Scientific American.

[44]  A. MacLarnon,et al.  The Evolution of Non-Maternal Care in Anthropoid Primates: A Test of the Hypotheses , 2000, Folia Primatologica.

[45]  P. Szmolyan,et al.  Canards in R3 , 2001 .

[46]  Banshidhar Sahoo,et al.  The chaos and control of a food chain model supplying additional food to top-predator , 2014 .

[47]  R. Hoage.  Social and physical maturation in captive lion Tamarins, Leontopithecus rosalia rosalia (Primates, Callitrichidae) , 1982 .

[48]  W. Kühme.  Communal Food Distribution and Division of Labour in African Hunting Dogs , 1965, Nature.

[49]  Christopher Jones,et al.  Geometric singular perturbation theory , 1995 .

[50]  Vitaly Volpert,et al.  Spatio-temporal pattern formation in Rosenzweig–MacArthur model: Effect of nonlocal interactions , 2017 .

[51]  G. Osipov,et al.  Spiral attractors as the root of a new type of “bursting activity” in the Rosenzweig–MacArthur model , 2018, The European Physical Journal Special Topics.

[52]  P. Moehlman,et al.  Jackal helpers and pup survival , 1979, Nature.

[53]  Karunia Putra Wijaya,et al.  On the existence of a nontrivial equilibrium in relation to the basic reproductive number , 2017, Int. J. Appl. Math. Comput. Sci..

[54]  Karunia Putra Wijaya,et al.  A modeling study of predator--prey interaction propounding honest signals and cues , 2020 .

[55]  R. Trivers.  The Evolution of Reciprocal Altruism , 1971, The Quarterly Review of Biology.

[56]  Yang Kuang,et al.  Global qualitative analysis of a ratio-dependent predator–prey system , 1998 .

[57]  J. Silk.  Patterns of food sharing among mother and infant chimpanzees at Gombe National Park, Tanzania. , 1978, Folia primatologica; international journal of primatology.

[58]  C. S. Holling.  The functional response of invertebrate predators to prey density , 1966 .

[59]  Bob W. Kooi,et al.  Hopf and torus bifurcations, torus destruction and chaos in population biology , 2017 .

[60]  Karunia Putra Wijaya,et al.  An epidemic model highlighting humane social awareness and vector-host lifespan ratio variation , 2020, Commun. Nonlinear Sci. Numer. Simul..

[61]  Huaiping Zhu,et al.  Canard cycles for predator–prey systems with Holling types of functional response☆ , 2013 .

[62]  P D N Srinivasu,et al.  Role of Quantity of Additional Food to Predators as a Control in Predator–Prey Systems with Relevance to Pest Management and Biological Conservation , 2011, Bulletin of mathematical biology.

[63]  Gerald S. Wilkinson,et al.  Food Sharing in Vampire Bats , 1990 .

[64]  J. Stevens,et al.  A conceptual framework for nonkin food sharing: timing and currency of benefits , 2004, Animal Behaviour.

[65]  Harry Dankowicz,et al.  TC-HAT: A Novel Toolbox for the Continuation of Periodic Trajectories in Hybrid Dynamical Systems , 2008, SIAM J. Appl. Dyn. Syst..

[66]  A. Feistner,et al.  Food-sharing in cotton-top tamarins (Saguinus oedipus). , 1990, Folia primatologica; international journal of primatology.

[67]  Andrew B. Barron,et al.  Modelling Food and Population Dynamics in Honey Bee Colonies , 2013, PloS one.

[68]  R. V. Van Gorder,et al.  Turing Instability and Colony Formation in Spatially Extended Rosenzweig–MacArthur Predator–Prey Models with Allochthonous Resources , 2019, Bulletin of Mathematical Biology.

[69]  A. Feistner,et al.  Food sharing in black lion tamarins (Leontopithecus chrysopygus) , 2000, American journal of primatology.