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Modeling approach influences dynamics of a vector-borne pathogen system. (English) Zbl 1415.92193

Summary: The choice of a modeling approach is a critical decision in the modeling process, as it determines the complexity of the model and the phenomena that the model captures. In this paper, we developed an individual-based model (IBM) and compared it to a previously published ordinary differential equation (ODE) model, both developed to describe the same biological system although with slightly different emphases given the underlying assumptions and processes of each modeling approach. We used both models to examine the effect of insect vector life history and behavior traits on the spread of a vector-borne plant virus, and determine how choice of approach affects the results and their biological interpretation. A non-random distribution of insect vectors across plant hosts emerged in the IBM version of the model and was not captured by the ODE. This distribution led simultaneously to a slower-growing vector population and a faster spread of the pathogen among hosts. The IBM model also enabled us to test the effect of potential control measures to slow down virus transmission. We found that removing virus-infected hosts was a more effective strategy for controlling infection than removing vector-infested hosts. Our findings highlight the need to carefully consider possible modeling approaches before constructing a model.

MSC:

92D30 Epidemiology
92C80 Plant biology
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[1] Ajayi BO, Dewar AM (1983) The effect of barley yellow dwarf virus on field populations of the cereal aphids, Sitobion avenae and Metopolophium dirhodum. Ann Appl Biol 103(1):1-11
[2] Bazghandi A (2012) Techniques, advantages and problems of agent based modeling for traffic simulation. Int J Comput Sci 9(1):115-119
[3] Bolnick DI, Amarasekare P, Arajo MS, Bürger R, Levine JM, Novak M, Rudolf VH, Schreiber SJ, Urban MC, Vasseur DA (2011) Why intraspecific trait variation matters in community ecology. Trends Ecol Evolut 26(4):183-192 · doi:10.1016/j.tree.2011.01.009
[4] Champagnat N, Méléard S (2007) Invasion and adaptive evolution for individual-based spatially structured populations. J Math Biol 55(2):147-188 · Zbl 1129.60080 · doi:10.1007/s00285-007-0072-z
[5] DeAngelis DL, Mooij W (2005) Individual-based modeling of ecological and evolutionary processes. Ann Rev Ecol Evolut Syst 36:147-168 · doi:10.1146/annurev.ecolsys.36.102003.152644
[6] Dixon AFG, Glen DM (1971) Morph determination in the bird cherry-oat aphid, Rhopalosiphum padi L. Ann Appl Biol 68(1):11-21
[7] Durrett R, Levin SA (1994) The importance of being discrete (and spatial). Theor Popul Biol 46:363-363 · Zbl 0846.92027
[8] Figueredo GP, Siebers PO, Aickelin U (2013) Investigating mathematical models of immuno-interactions with early-stage cancer under an agent-based modelling perspective. BMC Bioinform 14:S6 · doi:10.1186/1471-2105-14-S6-S6
[9] Hosseini PR (2003) How localized consumption stabilizes predator-prey systems with finite frequency of mixing. Am Nat 161(4):567-585 · doi:10.1086/368293
[10] Ingwell LL, Eigenbrode SD, Bosque-Pérez NA (2012) Plant viruses alter insect behavior to enhance their spread. Sci Rep 2:578 · doi:10.1038/srep00578
[11] Irwin ME, Thresh JM (1990) Epidemiology of barley yellow dwarf: a study in ecological complexity. Ann Rev Phytopathol 28:393-424 · doi:10.1146/annurev.py.28.090190.002141
[12] Jeger MJ, Chan MS (1995) Theoretical aspects of epidemics: uses of analytical models to make strategic management decisions. Can J Plant Pathol 17(2):109-114 · doi:10.1080/07060669509500701
[13] Jensen JLWV (1906) Sur les fonctions convexes et les ingalits entre les valeurs moyennes. Acta Math 30(1):175-193 · JFM 37.0422.02 · doi:10.1007/BF02418571
[14] Jiménez-Martnez ES, Bosque-Pérez NA (2004) Variation in Barley yellow dwarf virus transmission efficiency by Rhopalosiphum padi (Homoptera: Aphididae) after acquisition from transgenic and nontransformed wheat genotypes. J Econ Entomol 97(6):1790-1796
[15] Jiménez-Martnez ES, Bosque-Pérez NA, Berger PH, Zemetra RS (2004) Life history of the bird cherry-oat aphid, Rhopalosiphum padi (Homoptera: Aphididae), on transgenic and untransformed wheat challenged with Barley yellow dwarf virus. J Econ Entomol 97(2):203-212
[16] Keeling MJ, Grenfell BT (2000) Individual-based perspectives on \[R_0\] R0. J Theor Biol 203(1):51-61 · doi:10.1006/jtbi.1999.1064
[17] Keitt TH (1997) Stability and complexity on a lattice: coexistence of species in an individual-based food web model. Ecol Model 102(2-3):243-258 · doi:10.1016/S0304-3800(97)00059-8
[18] Kiureghian AD, Ditlevsen O (2009) Aleatory or epistemic? Does it matter? Struct Saf 31(2):105-112 · doi:10.1016/j.strusafe.2008.06.020
[19] Levins R (1966) The strategy of model building in population biology. Am Sci 54(4):421-431
[20] Magal P, Ruan S (2014) Susceptible-infectious-recovered models revisited: from the individual level to the population level. Math Biosci 250:26-40 · Zbl 1315.92081 · doi:10.1016/j.mbs.2014.02.001
[21] Marino S, Hogue IB, Ray CJ, Kirschner DE (2008) A methodology for performing global uncertainty and sensitivity analysis in systems biology. J Theor Biol 254(1):178-196 · Zbl 1400.92013 · doi:10.1016/j.jtbi.2008.04.011
[22] Railsback S, Grimm V (2012) Agent-based and individual-based modeling: a practical introduction. Princeton University Press, Princeton, NJ · Zbl 1085.92043
[23] Scholl HJ (2001) Agent-based and system dynamics modeling: a call for cross study and joint research. In: Proceedings of the 34th annual Hawaii international conference on system sciences, 2001. IEEE, pp 1-8
[24] Shaw AK, Peace A, Power AG, Bosque-Prez NA (2017) Vector population growth and condition-dependent movement drive the spread of plant pathogens. Ecology 98:2145-2157 · doi:10.1002/ecy.1907
[25] Shaw AK, Peace A, Power AG, Bosque-Prez NA (2018) Errata. Vector population growth and condition-dependent movement drive the spread of plant pathogens. Ecology 99:2904 · doi:10.1002/ecy.2159
[26] Thresh, JM; Clifford, BC (ed.); Lester, E. (ed.), Eradication as a virus disease control measure, 155-194 (1988), Oxford
[27] Ward SA, Leather SL, Pickup J, Harrington R (1998) Mortality during dispersal and the cost of host-specificity in parasites: How many aphids find hosts? J Anim Ecol 67:763-773 · doi:10.1046/j.1365-2656.1998.00238.x
[28] Young WR, Roberts AJ, Stuhne G (2001) Reproductive pair correlations and the clustering of organisms. Nature 412(6844):328-331 · doi:10.1038/35085561
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