Abstract
A population dynamics approach based on a system of differential equations allows us to establish conditions for the emergence of mutualism for cases such as coelenterates-algae symbionts. A central assumption of the model is that a host organism is able to discriminate, via some molecular recognition mechanisms, among different invading organisms and preferentially rejectparasites rather thanbona fide symbionts. Large differential rejection rates allow the emergence of mutualism. Different attractors of the population dynamics correspond to the emergence of mutualism, predominance of “selfish” species, or coexistence of many species.
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Weisbuch, G., Duchateau, G. Emergence of mutualism: Application of a differential model to endosymbiosis. Bltn Mathcal Biology 55, 1063–1090 (1993). https://doi.org/10.1007/BF02460700
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DOI: https://doi.org/10.1007/BF02460700