A Model Based Theoretical Study on Cannibalistic Prey–Predator System with Disease in Both Populations
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Anderson, R.M., May, R.M.: Regulation and stability of host-parasite interactions I. Regulatory processes. J. Anim. Ecol. 47, 219–247 (1978)
May, R.M., Anderson, R.M.: Regulation and stability of host-parasite population interaction: II. Destabilizing process. J. Anim. Ecol. 47, 249–267 (1978)
Gao, L.Q., Hethcote, H.W.: Disease transmission models with density-dependent demographics. J. Math. Biol. 30, 717–731 (1992)
Lorca, M.J., Hethcote, H.W.: Dynamic models of infectious diseases as regulators of population sizes. J. Math. Biol. 30, 693–716 (1992)
Hethcote, H.W., Wang, W., Han, L., Ma, Z.: A predator–prey model with infected prey. Theor. Popul. Biol. 66, 259–268 (2004)
Hilker, F.M., Schmitz, K.: Disease-induced stabilization of predator–prey oscillations. J. Theor. Biol. 255, 299–306 (2008)
Anderson, R.M., May, R.M.: The invasion, persistence and spread of infectious diseases within animal and plant communities. Philos. Trans. R. Soc. Lond. B Biol. Sci. 314, 533–570 (1986)
Hadeler, K.P., Freedman, H.I.: Predator–prey populations with parasitic infection. J. Math. Biol. 27, 609–631 (1989)
Venturino, E.: Epidemics in predator–prey models: disease in the prey. In: Arino, O., Axelrod, D., Kimmel, M., Langlais, M. (eds.) Mathematical Population Dynamics: Analysis of Heterogeneity. Theory of Epidemics, vol. 1, pp. 381–393. Wuerz Publishing, Winnipeg, Canada (1995)
Chattopadhyay, J., Arino, O.: A predator–prey model with disease in the prey. Nonlinear Anal. 36, 747–766 (1999)
Xiao, Y., Chen, L.: Modelling and analysis of a predator–prey model with disease in the prey. Math. Biosci. 171, 59–82 (2001)
Venturino, E.: Epidemics in predator–prey models: disease in the predators. IMA J. Math. Appl. Med. Biol. 19, 185–205 (2002)
Greenhalgh, D., Haque, M.: A predator–prey model with disease in the prey species only. Math. Meth. Appl. Sci. 30, 911–929 (2007)
Haque, M., Venturino, E.: An ecoepidemiological model with disease in predator: the ratio-dependent case. Math. Meth. Appl. Sci. 30, 1791–1809 (2007)
Hsieh, Y.H., Hsiao, C.K.: Predator–prey model with disease infection in both populations. Math. Med. Biol. 25, 247–266 (2008)
Das, K., Kundu, K., Chattopadhyay, J.: A predator–prey mathematical model with both the populations affected by diseases. Ecol. Complex. 8, 68–80 (2011)
Chaudhuri, S., Costamagna, A., Venturino, E.: Epidemics spreading in predator–prey systems. Int. J. Comput. Math. 89, 561–584 (2012)
Spann, K.M., Cowley, J.A., Walker, P.J., Lester, R.J.G.: A yellow head-like virus, from Penaeusmonodon cultured in Australia. Dis. Aquat. Org. 31, 169–179 (1997)
Fraser, C.A., Owens, L.: Spawner-isolated mortality virus from Australian Penaeus monodon. Dis. Aquat. Org. 27, 141–148 (1996)
Lindenbaum, S.: Kuru Sorcery. Disease and Danger in the New Guinea Highlands. Mayfield, Palo Alto, CA (1979)
Matuschka, F.R., Bannert, B.: Recognition of cyclic transmission of Sarcocystis stehlinii n-sp in the Gran Canarian giant lizard. J. Parasitol. 75, 383–387 (1989)
Jancovich, J.K., Davidson, E.W., Morado, J.F., Jacobs, B.L., Collins, J.P.: Isolation of a lethal virus from the endangered tiger salamander Ambystoma tigrinum stebbinsi. Dis. Aquat. Org. 31, 161–167 (1997)
Rudolf, V.H.W., Antonovics, J.: Disease Transmission by cannibalism: rare event or common occurrence? Proc. R. Soc. B 274, 1205–1210 (2007)
Liberski, P.P., Brown, P.: Kuru: a half-opened window onto the landscape of neurodegenerative diseases. Via Med. ISSN 1641–4640, 3–14 (2004)
Richardson, M.L., Mitchell, R.F., Reagel, P.F., Hanks, L.M.: Causes and consequences of cannibalism in noncarnivorous insects. Annu. Rev. Entomol. 55, 39–53 (2010)
Polis, G.A.: The evolution and dynamics of intraspecific predation. Annu. Rev. Ecol. Syst. 12, 225–251 (1981)
Claessen, D., De Roos, A.M., Persson, L.: Population dynamic theory of size-dependent cannibalism. Proc. R. Soc. Lond. B 271, 333–340 (2004)
Nakamura, K., Hasan, N., Abbas, I., Godfray, H.C.J., Bonsall, M.B.: Generation cycles in Indonesian lady beetle populations may occur as a result of cannibalism. Proc. R. Soc. Lond. B (Suppl.) 271, S501–S504 (2004)
Chapman, J.W., Williams, T., Escribano, A., Caballero, P., Cave, R.D., Goulson, D.: Fitness consequence of cannibalism in the fall armyworm. Spodoptera frugiperda. Behav. Ecol. 10, 298–303 (1998)
Wissinger, S.A., Sparks, G.B., Rouse, G.L., Brown, W.S., Steltzer, H.: Intraguild predation and cannibalism among larvae of detritivorous caddisflies in subalpine wetlands. Ecology 77, 2421–2430 (1996)
Szeinfeld, E.V.: Cannibalism and intraguild predation in clupeoids. Mar. Ecol. Prog. Ser. 79, 17–26 (1991)
Shevtsova, L.V., Zhdanova, G.A., Movchan, V.A., Primak, A.B.: Experimental interrelationship between Dreissena and planktic invertribates. Hydrobiol. J. 22, 36–39 (1986)
Aisenberg, A., Gonzalez, M., Laborda, A., Postiglioni, R., Simo, M.: Reversed cannibalism, foraging, and surface activities of Allocosa alticeps and Allocosa brasiliensis: two wolf spiders from coastal sand dunes. J. Arachnol. 37, 135–138 (2009)
Andrade, M.C.B.: Sexual selection for male sacrifice in the Australian red back spider. Science, 70–72 (1996)
Dick, J.T.A.: The cannibalistic behaviour of two Gammarus species (Crustacea: Amphipoda). J. Zool. 236, 697–706 (1995)
Zimmermann, M., Spence, J.R.: Adult population dynamics and reproductive effort of the fishing spider dolomedes triton (Araneae, Pisauridae) in central Alberta. Can. J. Zool. 70, 2224–2233 (1992)
Hurd, L.E., Eisrnberg, R.M., Fagan, W.F., Tilmon, K.J., Snyder, W.E., Vandersall, K.S., Datz, S.G., Welch, J.D.: Cannibalism reverses male-based sex ratio in adult mantids: female strategy against food limitation? Oikos 69, 193–198 (1994)
Vandewalle, N.: The effect of sexual cannibalism on the evolution of large populations. Phys. A 245, 113–123 (1997)
Newman, J.A., Elgar, M.A.: Sexual cannibalism in orb-weaving spiders: an economic model. Am. Nat. 138, 1372–1395 (1991)
Van den Bosch, F., De Roos, A.M., Gabriel, W.: Cannibalism as a life boat mechanism. J. Math. Biol. 26, 619–663 (1988)
Van den Bosch, F., Gabriel, W.: Cannibalism in an age-structured predator–prey system. Bull. Math. Biol. 59, 551–567 (1997)
Diekmann, O., Nibet, R.M., Gurney, W.S.C., Van den Bosch, F.: Simple mathematical models for cannibalism: a critique and a new approach. Math. Biosci. 78, 21–46 (1986)
Kohlmeier, C., Ebenhoh, W.: The stabilizing role of cannibalism in a predator–prey system. Bull. Math. Biol. 57, 401–411 (1995)
Landahl, H.D., Hansen, B.D.: A three stage population model with cannibalism. Bull. Math. Biol. 37, 11–17 (1975)
Weaver, D.K., Nansen, C., Runyon, J.B., Sing, S.E., Morrill, W.L.: Spatial distributions of Cephus cinctus Norton (Hymenoptera: Cephidae) and its braconid parasitoids in Montana wheat fields. Biol. Control 34, 1–11 (2005)
Ibanez, C.M., Chong, J.: Feeding ecology of Enteroctopus megalocyathus (Cephalopoda: Octopodidae) in southern Chile. J. Mar. Biol. Ass. UK 88, 793–798 (2008)
Grubert, M.A., Wadley, V.A., White, R.W.G.: Diet and feeding strategy of Octopus maorum in southeast Tasmania. Bull. Mar. Sci. 65, 441–451 (1999)
Cortez, T., Castro, B.G., Guerra, A.: Feeding dynamics of Octopus mimus (Mollusca: Cephalopoda) in northern Chile waters. Mar. Biol. 123, 497–503 (1995)
Ibanez, C.M., Keyal, F.: Cannibalism in cephalopods. Rev. Fish. Biol. Fish. (2009). doi: 10.1007/s11160-009-9129-y
Boots, M.: Cannibalism and the stage-dependent transmission of a viral pathogen of the Indian meal moth. Plodia interpunctella. Ecol. Entomol. 23, 118–122 (1998)
Birkhoff, G., Rota, G.C.: Ordinary Differential Equations. Ginn, Boston (1982)
Yang, X., Chen, L., Chen, J.: Permanence and positive periodic solution for the single-species nonautonomous delay diffusive models. Comput. Math. Appl. 32, 109–116 (1996)
Hassard, B.D., Kazarinoff, N.D., Wan, Y.H.: Theory and Application of Hopf Bifurcation. Cambridge University Press, Cambridge (1981)
Butler, G.J., Freedman, H.I., Waltman, P.: Uniformly persistent systems. Proc. Am. Math. Soc. 96, 425–430 (1986)
Pielou, E.C.: Introduction to Mathematical Ecology. Wiley-Interscience, New York, NY (1969)
Bairagi, N., Roy, P.K., Chattopadhyay, J.: Role of infection on the stability of a predator–prey system with several response functions—a comparative study. J. Theor. Biol. 248, 10–25 (2007)
Haque, M.: A predator–prey model with disease in the predator species only. Nonlinear Anal. 11, 2224–2236 (2010)
Singh, B.K., Chattopadhyay, J., Sinha, S.: The role of virus infection in a simple phytoplankton zooplankton system. J. Theor. Biol. 231, 153–166 (2004)