Basic mathematics notation

  • Time points: \( t_0,t_1,\ldots,t_m \)
  • Uniform distribution of time points: \( t_n=n\Delta t \)
  • \( H^n \): population of hares at time \( t_n \)
  • \( L^n \): population of lynx at time \( t_n \)
  • We want to model the changes in populations, \( \Delta H=H^{n+1}-H^n \) and \( \Delta L=L^{n+1}-L^n \) during a general time interval \( [t_{n+1},t_n] \) of length \( \Delta t=t_{n+1}-t_n \)