Physical Sciences and Mathematics Commons^™

Global Dynamics Of A Mutualism–Competition Model With One Resource And Multiple Consumers, Yuanshi Wang, Hong Wu, Donald L. Deangelis

United States Geological Survey: Staff Publications

Recent simulation modeling has shown that species can coevolve toward clusters of coexisting consumers exploiting the same limiting resource or resources, with nearly identical ratios of coefficients related to growth and mortality. This paper provides a mathematical basis for such as situation; a full analysis of the global dynamics of a new model for such a class of n-dimensional consumer–resource system, in which a set of consumers with identical growth to mortality ratios compete for the same resource and in which each consumer is mutualistic with the resource. First, we study the system of one resource and two consumers. …