Abstract: We used the lattice Boltzmann method to study the RossMacdonald equations with drift property  which described the MalariaMalaria mosquito system. We first constructed a lattice Boltzmann model for the RossMacdonald equations, then used this model to simulate  the MalariaMalaria mosquito system, and compared the numerical solutions of the lattice Boltzmann  method with those of the finite difference method. The results show that this method can be used to 
simulate the MalariaMalaria mosquito system.

Key words: lattice Boltzmann model, RossMacdonald equations, MalariaMalaria mosquito system