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In this paper we show a group of real examples from various agricultural research, with the goal of exposing the use of mathematical tools applied to them. Also highlights the fundamental basic problems that arise in the agricultural sciences, which can be solved using the tools of Applied Mathematics and existing software according to the complexities of the problem at hand. Finally, are some of the models that most often occur in the various disciplines of agricultural specialties and the basic core of mathematics that can be applied in each case. [ABSTRACT FROM AUTHOR]

The paper shows a dynamic replicator implementation in R Language to analyze and simulate the cultural and behavioral features of society with an evolutionary model used by the biological science. The algorithm is a solution by finite difference method of Bowles and Ginti's version of dynamic replicator, it allows the researcher to use it to model different situations, with only define the probability functions of contact and interaction between groups and payment functions. We decide to use R Language despite its use as statistical tool, because allows to model different problems also it is accessible to people without formal education in computing. [ABSTRACT FROM AUTHOR]