Numerical integration of population models satisfying conservation laws: NSFD methods.

@article{Mickens2007NumericalIO,
  title={Numerical integration of population models satisfying conservation laws: NSFD methods.},
  author={Ronald E. Mickens},
  journal={Journal of biological dynamics},
  year={2007},
  volume={1 4},
  pages={427-36}
}
Population models arising in ecology, epidemiology and mathematical biology may involve a conservation law, i.e. the total population is constant. In addition to these cases, other situations may occur for which the total population, asymptotically in time, approach a constant value. Since it is rarely the situation that the equations of motion can be analytically solved to obtain exact solutions, it follows that numerical techniques are needed to provide solutions. However, numerical… CONTINUE READING