In this study, we computationally investigate decision-making by individuals and the ensuing social structure of a primate species, chimpanzees, using Newton’s equations of classical mechanics, as opposed to agentbased analyses in which individual chimpanzees make independent decisions. Our model uses molecular dynamics simulation techniques to solve Newton’s equations and is able to approximate the movements of female and male chimpanzees, especially in relation to the available food resources, in a manner that is consistent with their observed behaviour in natural habitats. It is noteworthy that our Newtonian dynamicsbased model may allow us to make certain specific observations of their behaviour, some of which may be difficult to achieve through agentbased modelling exercises or even field studies. Chimpanzees tend to live in fission-fusion social groups, with varying number of individuals, in which both females and males tend to display intrasexual competition for valuable food resources while the males also compete for oestrus females. Most populations of the species are also restricted to a small range of habitats, a clear indication that they are especially vulnerable to the availability and distribution of food sources. With reasonable assumptions of chimpanzee behaviour, we have been able to analyse the clustering behaviour of individuals in relation to local food sources as also patterns of their migration across groups. Our simulated results are qualitatively consistent with field observations conducted on a particular semi-isolated population of chimpanzees in Bossou, Guinea, in western Africa. © 2014 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.