Oil palm production is of economical importance in several southern countries. The increasing demand of oil palm put a lot of pressure in several places where the rain forest and thus the tropical diversity are in danger due to deforestation. With the land already cultivated, we need to improve the yields, which means to increase the production of fruits in plots. One way is to increase the pollination or the fruit set through pollination. Palm tree has a specific entomophilous pollinator, a weevil, Elaeidobius spp, that absolutely needs male inflorescence to complete its life cycle. In young plots (3-7 years old), mainly female inflorescences are produced, and thus, the pollinator population cannot maintain, resulting in a bad fruit set, and, thus, a bad production. That is why several questions arise: What is the mean number of male inflorescences (per hectare) needed to maintain the pollinators population above a certain threshold? And, in terms of yield, what is the optimal size of the population to reach an optimal fruit set? We propose, compare and discuss 2 different modeling approaches to develop preliminary models to study the dynamics of the pollinator population, and obtain some rough estimates of the fruit set. We derive some simulations and discuss these preliminary results.