Disease in group-defending prey can benefit predators

Theoretical Ecology - Tập 7 Số 1 - Trang 87-100 - 2014
Andrew Bate1, Frank M. Hilker1
1#N#§#N#University of Bath#N#

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Ajraldi V, Pittavino M, Venturino E (2011) Modelling herd behaviour in population systems. Nonlinear Anal R World Appl 12:2319–2338

Allen WE (1920) Behavior of loon and sardines. Ecology 1:309–310

Anderson RM, May RM (1986) The invasion, persistence and spread of infectious disease with animal and plant communities. Abstr Pap Print Philos Trans R Soc Lond B Biol Sci 314:533–570

Andrews JF (1968) A mathematical model for the continuous culture of microorganisms utilizing inhibitory substrates. Biotechnol Bioeng 10:707–723

Armstrong RA, McGehee R (1980) Competitive exclusion. Am Nat 115:151–170

Bate AM, Hilker FM (2013) Predator–prey oscillations can shift when diseases become endemic. J Theor Biol 316:1–8

Chesson P (2000) General theory of competitive coexistence in spatially-varying environments. Theor Popul Biol 58:211–137

Collings JB (1997) The effects of the functional response on the bifurcation behavior of a mite predator-prey interaction model. J Math Biol 36:149–168

Das K, Roy S, Chattopadhyay J (2009) Effect of disease-selective predation on prey infected by contact and external sources. Biosystems 95:188–199

Freedman HI, Wolkowicz GSK (1986) Predator–prey systems with groups defence: the paradox of enrichment revisited. Bull Math Biol 48:493–508

Gause G (1934) The struggle for existence. Williams and Wilkins, Baltimore

Geritz SAH, Gyllenberg M (2013) Group defence and the predator’s functional response. J Math Biol 66:705–717

Gurney WSC, Nisbet RM (1998) Ecological dynamics. Oxford University

Hardin G (1960) The competitive exclusion principle. Science 131:1292–1297

Hilker FM, Malchow H (2006) Strange periodic attractors in a prey–predator system with infected prey. Math Popul Stud 13:119–134

Holling CS (1959) Some characteristics of simple types of predation and parasitism. Can Entomol 91:385–398

Koen-Alonso M (2007) A process-oriented approach to the multispecies functional response. In: From energetics to ecosystems: the dynamics and structure of ecological systems, Springer, p 1–36

Kot M (2001) Elements of mathematical ecology. Cambridge University

Krause J, Ruxton GD (2002) Living in groups. Oxford University

McGehee R, Armstrong RA (1977) Some mathematical problems concerning the ecological principle of competitive exclusion. J Differ Equ 23:30–52

Miller RC (1922) The significance of gregarious habit. Ecology 3:122–126

Murdoch WW (1972) The functional response of predators. Biol Control 15:237–40

Ono M, Igarashi T, Ohno E, Sasaki M (1995) Unusual thermal defence by a honeybee against mass attack by hornets. Nature 377:334–336

Ruan S, Xiao D (2001) Global analysis in a predator–prey system with nonmonotonic functional response. SIAM J Appl Math 61:1445–1472

Seppälä O, Karvonen A, Valtonen ET (2008) Shoaling behaviour of fish under parasitism and predation risk. Anim Behav 75:145–150

Sieber M, Hilker FM (2011) Prey, predators, parasites: intraguild predation or simpler community models in disguise?J Anim Ecol 80:414–421

Siekmann I, Malchow H, Venturino E (2010) On competition of predators and prey infection. Ecological Complexity 7:446–457

Venturino E (2011) A minimal model for ecoepidemics with group defense. J Biol Syst 19:763–785