摘要：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 R 0 ≤ 1 $R_(\leq1$ , and the disease is permanent if R 0 > 1 $R_(>1$ . Numerical simulations show that the main theoretical results are true.
关键词：discrete plant disease model ; basic reproduction number ; global attractivity ; permanence
