Hierarchy Establishment from Nonlinear Social Interactions and Metabolic Costs: An Application to Harpegnathos saltator

Social hierarchies are ubiquitous in social groups such as human societies and insect colonies; however, the factors that maintain these less clear. Motivated by shared reproductive hierarchy of ant species Harpegnathos saltator, we have developed simple compartmental nonlinear differential equations to explore how key life-history metabolic rate parameters may impact determine its colony size length hierarchy. Our modeling approach incorporates interactions theory. The results from proposed model, which were linked with limited data, show that: (1) proportion individuals decreases over growth; (2) an increase mortality rates can diminish but also individuals; (3) a major structure