讨论一类带有分数维布朗运动的随机种群方程,研究这类随机种群模型的Euler数值解.在较弱的非Lips—chitz条件下证明Euler数值解收敛于解析解,并通过例子验证相关结果.
A class of stochastic population equations with fraction-dimensional Brownian motion is discussed and the Euler numerical solutions of stochastic population models is studied. It is proved that under weaker non-Lipschitz conditions, the Euler solutions will converge to the analytical solutions. An example is given to verify the relevant results.