Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  investigate the dynamics of two-strategy replicator equations in which the fitness of each strategy is a function of the population frequencies delayed by a time interval T.  analyze two models: in the first, all terms in the fitness are delayed, while in the second, only opposite-strategy terms are delayed.  compare the two models via a linear homotopy. Taking the delay T as a bifurcation parameter,  demonstrate the existence of (nondegenerate) Hopf bifurcations in both models, and present an analysis of the resulting limit cycles using Lindstedt’s method.
['Elizabeth Wesson', 'Richard H. Rand', 'David G. Rand']
I am writing a research paper on a idea Hopf Bifurcations in Two-Strategy Delayed Replicator Dynamics
[{"from": "human", "value": "I am writing a research paper on a idea Hopf Bifurcations in Two-Strategy Delayed Replicator Dynamics"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  investigate the dynamics of two-strategy replicator equations in which the fitness of each strategy is a function of the population frequencies delayed by a time interval T.  analyze two models: in the first, all terms in the fitness are delayed, while in the second, only opposite-strategy terms are delayed.  compare the two models via a linear homotopy. Taking the delay T as a bifurcation parameter,  demonstrate the existence of (nondegenerate) Hopf bifurcations in both models, and present an analysis of the resulting limit cycles using Lindstedt\u2019s method."}]