African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

Evaluation of continuous host-parasitoid models

Siza Mwalusepo1, Henri E. Z. Tonnang2 and Estomih S. Massawe3*
Siza Mwalusepo1, Henri E. Z. Tonnang2 and Estomih S. Massawe3*
Email: [email protected]

  •  Accepted: 26 July 2010
  •  Published: 28 February 2011

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 host-parasitoid models, Holling Tanner model Type 3 presented relatively better approximations compared to the other models.

 

Key words: Diamondback moth, population dynamics, model parameters estimation, biological control, parasitoid impact.