Abstract
For years, mathematical modeling has been involved in solving problems occurred in ecology relating to population dynamics. In this paper, we solve several models of population dynamic using nonstandard finite difference methods. We compare our results of nonstandard finite difference methods with those of Euler’s and Heun’s methods. Our research shows that the nonstandard finite difference method produces most accurate solution in comparison with the results of Euler’s and Heun’s methods.For years, mathematical modeling has been involved in solving problems occurred in ecology relating to population dynamics. In this paper, we solve several models of population dynamic using nonstandard finite difference methods. We compare our results of nonstandard finite difference methods with those of Euler’s and Heun’s methods. Our research shows that the nonstandard finite difference method produces most accurate solution in comparison with the results of Euler’s and Heun’s methods.
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