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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.

### Keywords:

barley yellow dwarf virus; individual-based model; mean field; ordinary differential equation; vector-borne plant pathogen
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\textit{A. K. Shaw} et al., Bull. Math. Biol. 81, No. 6, 2011--2028 (2019; Zbl 1415.92193)

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### References:

[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., Techniques, advantages and problems of agent based modeling for traffic simulation, Int J Comput Sci, 9, 115-119, (2012) |

[3] | Bolnick, DI; Amarasekare, P.; Arajo, MS; Bürger, R.; Levine, JM; Novak, M.; Rudolf, VH; Schreiber, SJ; Urban, MC; Vasseur, DA, Why intraspecific trait variation matters in community ecology, Trends Ecol Evolut, 26, 183-192, (2011) |

[4] | Champagnat, N.; Méléard, S., Invasion and adaptive evolution for individual-based spatially structured populations, J Math Biol, 55, 147-188, (2007) · Zbl 1129.60080 |

[5] | DeAngelis, DL; Mooij, W., Individual-based modeling of ecological and evolutionary processes, Ann Rev Ecol Evolut Syst, 36, 147-168, (2005) |

[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., Investigating mathematical models of immuno-interactions with early-stage cancer under an agent-based modelling perspective, BMC Bioinform, 14, s6, (2013) |

[9] | Hosseini, PR, How localized consumption stabilizes predator-prey systems with finite frequency of mixing, Am Nat, 161, 567-585, (2003) |

[10] | Ingwell, LL; Eigenbrode, SD; Bosque-Pérez, NA, Plant viruses alter insect behavior to enhance their spread, Sci Rep, 2, 578, (2012) |

[11] | Irwin, ME; Thresh, JM, Epidemiology of barley yellow dwarf: a study in ecological complexity, Ann Rev Phytopathol, 28, 393-424, (1990) |

[12] | Jeger, MJ; Chan, MS, Theoretical aspects of epidemics: uses of analytical models to make strategic management decisions, Can J Plant Pathol, 17, 109-114, (1995) |

[13] | Jensen, JLWV, Sur les fonctions convexes et les ingalits entre les valeurs moyennes, Acta Math, 30, 175-193, (1906) · JFM 37.0422.02 |

[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, Individual-based perspectives on \(R_0\), J Theor Biol, 203, 51-61, (2000) |

[17] | Keitt, TH, Stability and complexity on a lattice: coexistence of species in an individual-based food web model, Ecol Model, 102, 243-258, (1997) |

[18] | Kiureghian, AD; Ditlevsen, O., Aleatory or epistemic? Does it matter?, Struct Saf, 31, 105-112, (2009) |

[19] | Levins, R., The strategy of model building in population biology, Am Sci, 54, 421-431, (1966) |

[20] | Magal, P.; Ruan, S., Susceptible-infectious-recovered models revisited: from the individual level to the population level, Math Biosci, 250, 26-40, (2014) · Zbl 1315.92081 |

[21] | Marino, S.; Hogue, IB; Ray, CJ; Kirschner, DE, A methodology for performing global uncertainty and sensitivity analysis in systems biology, J Theor Biol, 254, 178-196, (2008) · Zbl 1400.92013 |

[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, Vector population growth and condition-dependent movement drive the spread of plant pathogens, Ecology, 98, 2145-2157, (2017) |

[25] | Shaw, AK; Peace, A.; Power, AG; Bosque-Prez, NA, Errata. Vector population growth and condition-dependent movement drive the spread of plant pathogens, Ecology, 99, 2904, (2018) |

[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., Mortality during dispersal and the cost of host-specificity in parasites: How many aphids find hosts?, J Anim Ecol, 67, 763-773, (1998) |

[28] | Young, WR; Roberts, AJ; Stuhne, G., Reproductive pair correlations and the clustering of organisms, Nature, 412, 328-331, (2001) |

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