A discrete plant disease model with roguing and replanting: Doc 332

(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) In this paper, we study a discrete plant virus disease model with roguing and replanting which is derived from the continuous case by using the well-known backward Euler method. The positivity of solutions with positive initial conditions is obtained. By applying analytic techniques and constructing a discrete Lyapunov function, we obtain the result that the disease-free equilibrium is globally attractive if ..., and the disease is permanent if ... Numerical simulations show that the main theoretical results are true.