Nonlinear functional response parameter estimation in a stochastic predator-prey model
Parameter estimation for the functional response of predator-prey systems is a critical methodological problem in population ecology. In this paper we consider a stochastic predator-prey system with non-linear Ivlev functional response and propose a method for model parameter estimation based on tim...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-11-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.75 |
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| author | Gianni Gilioli Sara Pasquali Fabrizio Ruggeri |
| author_facet | Gianni Gilioli Sara Pasquali Fabrizio Ruggeri |
| author_sort | Gianni Gilioli |
| collection | DOAJ |
| description | Parameter estimation for the functional response of predator-prey systems is a critical methodological problem in population ecology. In this paper we consider a stochastic predator-prey system with non-linear Ivlev functional response and propose a method for model parameter estimation based on time series of field data. We tackle the problem of parameter estimation using a Bayesian approach relying on a Markov Chain Monte Carlo algorithm. The efficiency of the method is tested on a set of simulated data. Then, the method is applied to a predator-prey system of importance for Integrated Pest Management and biological control, the pest mite Tetranychus urticae and the predatory mite Phytoseiulus persimilis. The model is estimated on a dataset obtained from a field survey. Finally, the estimated model is used to forecast predator-prey dynamics in similar fields, with slightly different initial conditions. |
| format | Article |
| id | doaj-art-9dc03695231c483eab1e2067d2b411ad |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-9dc03695231c483eab1e2067d2b411ad2025-01-24T02:05:22ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-11-0191759610.3934/mbe.2012.9.75Nonlinear functional response parameter estimation in a stochastic predator-prey modelGianni Gilioli0Sara Pasquali1Fabrizio Ruggeri2Dipartimento di Scienze Biomediche e Biotecnologie, Università di Brescia, Viale Europa 11, 25125 BresciaDipartimento di Scienze Biomediche e Biotecnologie, Università di Brescia, Viale Europa 11, 25125 BresciaDipartimento di Scienze Biomediche e Biotecnologie, Università di Brescia, Viale Europa 11, 25125 BresciaParameter estimation for the functional response of predator-prey systems is a critical methodological problem in population ecology. In this paper we consider a stochastic predator-prey system with non-linear Ivlev functional response and propose a method for model parameter estimation based on time series of field data. We tackle the problem of parameter estimation using a Bayesian approach relying on a Markov Chain Monte Carlo algorithm. The efficiency of the method is tested on a set of simulated data. Then, the method is applied to a predator-prey system of importance for Integrated Pest Management and biological control, the pest mite Tetranychus urticae and the predatory mite Phytoseiulus persimilis. The model is estimated on a dataset obtained from a field survey. Finally, the estimated model is used to forecast predator-prey dynamics in similar fields, with slightly different initial conditions.https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.75bayesian inferencemcmc algorithmlatent databiological control.ivlev model |
| spellingShingle | Gianni Gilioli Sara Pasquali Fabrizio Ruggeri Nonlinear functional response parameter estimation in a stochastic predator-prey model Mathematical Biosciences and Engineering bayesian inference mcmc algorithm latent data biological control. ivlev model |
| title | Nonlinear functional response parameter estimation in a stochastic predator-prey model |
| title_full | Nonlinear functional response parameter estimation in a stochastic predator-prey model |
| title_fullStr | Nonlinear functional response parameter estimation in a stochastic predator-prey model |
| title_full_unstemmed | Nonlinear functional response parameter estimation in a stochastic predator-prey model |
| title_short | Nonlinear functional response parameter estimation in a stochastic predator-prey model |
| title_sort | nonlinear functional response parameter estimation in a stochastic predator prey model |
| topic | bayesian inference mcmc algorithm latent data biological control. ivlev model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2012.9.75 |
| work_keys_str_mv | AT giannigilioli nonlinearfunctionalresponseparameterestimationinastochasticpredatorpreymodel AT sarapasquali nonlinearfunctionalresponseparameterestimationinastochasticpredatorpreymodel AT fabrizioruggeri nonlinearfunctionalresponseparameterestimationinastochasticpredatorpreymodel |