Evaluation of Continuous Host-Parasitoid Models
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Date
2011-03
Journal Title
Journal ISSN
Volume Title
Publisher
Academic Journals
Abstract
In this paper the performance of continuous host-parasitoid models were investigated. The parameter
values for several well-known models: Lotka-volterra, Holling Tanner Type 2, Holling Tanner Type 3,
Leslie, Bazykin, Beddington-DeAngelis, Yodzis and Rosenzwing-Macarthur models were estimated. The
models were tested on 40 consecutive sets of time series data collected at 14 days interval for pest and
parasitoid population obtained from a highland cabbage growing area in Eastern Kenya. Model
parameters were estimated from the minimization of the loss functions between the theoretical and
experimental time series datasets following the Nelder-Mead multidimensional method. Initial values of
population size and parameters were randomly chosen. Durbin-Watson statistic was applied for
comparison of model outputs and experimental population trajectories. Among the eight different hostparasitoid
models, Holling Tanner model Type 3 presented relatively better approximations compared
to the other models.
Description
Keywords
Diamondback moth, Population dynamics, Model parameters estimation, Biological control, Parasitoid impact
Citation
Mwalusepo, S., Tonnang, H.E. and Massawe, E.S., 2011. Evaluation of continuous host-parasitoid models. African Journal of Mathematics and Computer Science Research, 4(2), pp.39-54.