Calatayud Gregori, J.; Cortés, J.; Dorini, FA.; Jornet Sanz, M. (2022). Dealing with variability in ecological modelling: An analysis of a random non-autonomous logistic population model. Mathematical Methods in the Applied Sciences. 45(6):3318-3333. https://doi.org/10.1002/mma.7458
Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/192202
Title:
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Dealing with variability in ecological modelling: An analysis of a random non-autonomous logistic population model
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Author:
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Calatayud Gregori, Julia
Cortés, J.-C.
Dorini, Fábio A.
Jornet Sanz, Marc
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UPV Unit:
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Universitat Politècnica de València. Facultad de Administración y Dirección de Empresas - Facultat d'Administració i Direcció d'Empreses
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Issued date:
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Abstract:
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[EN] This paper presents a methodology to deal with the randomness associated to ecological modelling. Data variability makes it necessary to analyse the impact of random perturbations on the fitted model parameters. We ...[+]
[EN] This paper presents a methodology to deal with the randomness associated to ecological modelling. Data variability makes it necessary to analyse the impact of random perturbations on the fitted model parameters. We conduct such analysis for the logistic growth model with a certain sigmoid functional form of the carrying capacity, which was proposed in the literature for the study of parasite growth during infection. We show how the probability distributions of the parameters are set via the maximum entropy principle. Then the random variable transformation method allows for computing the density function of the population.
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Subjects:
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Logistic growth model
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Time-varying carrying capacity
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Random parameters
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Probability density function
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Copyrigths:
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Reserva de todos los derechos
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Source:
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Mathematical Methods in the Applied Sciences. (issn:
0170-4214
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DOI:
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10.1002/mma.7458
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Publisher:
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John Wiley & Sons
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Publisher version:
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https://doi.org/10.1002/mma.7458
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Project ID:
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info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-89664-P/ES/PROBLEMAS DINAMICOS CON INCERTIDUMBRE SIMULABLE: MODELIZACION MATEMATICA, ANALISIS, COMPUTACION Y APLICACIONES/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-115270GB-I00/ES/ECUACIONES DIFERENCIALES ALEATORIAS. CUANTIFICACION DE LA INCERTIDUMBRE Y APLICACIONES/
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Thanks:
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Spanish Ministerio de Economia y Competitividad, Grant/Award Number: PID2020-115270GB-I00; Agencia Estatal de Investigacion
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Type:
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Artículo
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