It is shown that the overall population growth is governed by the dominant eigenvalue of the matrix chain representing the seasonal cycle. The sensitivity of this growth factor to population parameters is investigated and its implication to control strategies discussed. The Weibull distribution has been used to model field data collected at Mpanga Ranch, Rwanda, involving catches of G. Pallidipes, G. morsitans and G. brevipalpis by traps with bases placed at ground level and at 5ft, 10ft and 15ft above the ground, and baited with acetone and cow urine. A model for crop development. In this paper a mathematical model for crop development is discussed.
Various factors influence the growth and yield for different crops in an implicit manner.
The seed variety and climatological parameters contribute effectively to germination, crop development and final grain yield. Finally we discuss the growth for maize using this model. Optimal harvesting in poultry farming. We develop a matrix model for a harvesting policy that maximizes the harvest of a population without altering its age structure. The model is applied in harvesting a poultry population with the objective of maximizing egg production.