Consider a community composed of two species. Assume that both species inhibit
Chapter 11, Problem 42(choose chapter or problem)
Consider a community composed of two species. Assume that both species inhibit themselves. Explain why mutualistic and competitive interactions lead to qualitatively similar predictions about the stability of the corresponding equilibria. That is, show that if A = [ai j ] is the community matrix at equilibrium for the case of mutualism, and if B = [bi j ] is the community matrix at equilibrium for the case of competition, then the following holds: If |ai j| = |bi j | for 1 i, j 2, then either both equilibria are locally stable or both are unstable.
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