Abstract
Some models are presented for the dynamics of a host population with two parasite species. The models differ in two main aspects: whether they include direct competition among parasites and whether the analysis is based on some approximation and which one. If the analysis is not constrained by a priori assumptions about parasite distributions, it is found that species coexistence is very unlikely without some kind of direct competition among parasites; on the other hand, coexistence generally occurs when inter-specific competition is lower than intraspecific, similarly to standard theory for free-living species. If hosts differ in their predisposition to infection, but not in an identical way towards the two parasite species, then species coexistence becomes feasible even if inter-specific competition is as strong as intraspecific; in this case, coexistence becomes easier as the variance in predisposition increases. These models do not yield universal predictions for patterns of parasite distributions; an analysis of the mechanisms of interaction in each specific system is necessary for that.
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References
Kostizin VA. Symbiose, parasitisme et évolution (ètude mathèmatique). Paris: Hermann, 1934. English translation. In: Scudo F, Ziegler J, eds. The Golden Age Of Theoretical Ecology. Berlin: Springer-Verlag, 1978:369–408.
Anderson RM, May RM. Regulation and stability of host-parasite populations interactions I-II. J Anim Ecol 1978; 47:219–247, 249–267.
Hudson PJ, Rizzoli A, Grenfell BT et al. Ecology Of Wildlife Diseases. Oxford: Oxford Univ Press, 2002.
Poulin R. Evolutionary ecology of parasites. Princeton: Princeton Univ Press, 2007.
Adler FR, Kretzschmar M. Aggregation and stability in parasite-host models. Parasitol 1992; 104:199–205.
Pugliese A, Rosà R. Analysis of a model for macroparasitic infection with variable aggregation and clumped infections. J Math Biol 1998; 36:419–447.
Dobson AP. The population dynamics of competition between parasites. Parasitol 1985; 91:317–347.
Dobson AP. Models For Multi-Species Parasite-Host Communities. In: Esch GW, Bush AO, Aho JM, eds. Parasite communities: patterns and processes. London: Chapman and Hall, 1990:261–288.
Dobson AP, Roberts MG. The population-dynamics of parasitic helminth communities. Parasitol 1994; 109:S97–S108.
Roberts MG, Dobson AP. The population dynamics of communities of parasitic helminths. Math Biosci 1995; 126:191–214.
Gatto M, De Leo G. Interspecific competition among macroparasites in a density-dependent host population. J Math Biol 1998; 37:467–490.
Armstrong RA, McGehee R. Competitive exclusion. Amer Nat 1980; 115:151–170.
Bottomley C, Isham V, Basanez MG. Population biology of multispecies helminth infection: interspecific interactions and parasite distribution. Parasitol 2005; 131:417–433.
Bottomley C, Isham V, Basanez MG. Population biology of multispecies helminth infection: competition and coexistence. J Theor Biol 2007; 244:81–95.
Nåsell I. Hybrid Models Of Tropical Infections. Berlin: Springer, 1985.
Behnke JM, Gilbert FS, Abu-Madi MA et al. Do the helminth parasites of wood mice interact? J Animal Ecol 2005; 74:982–993.
Jackson JA, Pleass RJ, Cable J et al. Heterogenous interspecific interactions in a host—parasite system. Int J Parasit 2006; 36:1341–1349.
Pugliese A, Coexistence of macroparasites without direct interactions. Theor Pop Biol 2000; 57:145–165.
Diekmann O, Heesterbeek JAP, Metz JAJ. On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations. J Math Biol 1990; 28:365–382.
Pugliese A, Tonetto L. Thresholds for macroparasite infections. J Math Biol 2004; 49:83–110.
Hutson V, Schmitt K. Permanence and the dynamics of biological systems. Math Biosci 1992; 111:1–71.
Isham V. Stochastic models of host-macroparasite interaction. Ann Appl Prob 1995; 5:720–740.
Pacala SW, Dobson AP. The relation between the number of parasite/host and host age: population dynamic causes and maximum likelihood estimation. Parasitol 1988; 96:197–210.
Shaw DJ, Dobson AP. Patterns of macroparasite abundance and aggregation in wildlife populations: a quantitative review. Parasitol 1995; 111S:111–133.
Poulin R. Species richness of parasite assemblages: evolution and patterns. Ann Rev Ecol Syst 1997; 28:341–358.
Smith G, Grenfell BT. The population biology of ostertagia ostertagi. Parasitol Today 1985; 1:76–81.
Behnke JM, Bajer A, Sinski E et al. Interactions involving rodent nematodes: experimental and field studies. Parasitol 2000; 122:S39–S49.
Woolhouse MEJ. A theoretical framework for the immunoepidemiology of helminth infection. Parasite Immunology 1992; 14:563–578.
Chan MS, Isham V. A stochastic model of schistosomiasis immuno-epidemiology. Math Biosci 1998; 151:179–198.
Keeling MJ, Rand DA, Morris AJ. Correlation models for childhood epidemics. Proc R Soc Lond B 1997; 264:1149–1156.
Rosà R, Pugliese A. Aggregation, stability and oscillations in different models for host-macroparasite interactions. Theor Popul Biol 2002; 61:319–334.
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Pugliese, A. (2010). Modelling Multi-Species Parasite Transmission. In: Michael, E., Spear, R.C. (eds) Modelling Parasite Transmission and Control. Advances in Experimental Medicine and Biology, vol 673. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-6064-1_3
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DOI: https://doi.org/10.1007/978-1-4419-6064-1_3
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