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For two spectral systems cri and 02 on a Banach space 3?, the associated Browder spectral system is <r&;i,2 := o~i U<r2. We prove that cT(,;12 possesses the projection and spectral mapping properties… Continue Reading
Static ESS conditions are developed for the frequency evolution of a two-species haploid system by analyzing the stability of the corresponding dynamics for two pairs of strategies. A dynamic strong… Continue Reading
We prove that the joint spectrum of the tensor product of several operators is the cartesian product of their spectra.
Stability conditions for equilibria of the evolution of population strategy types are investigated by means of evolutionary game dynamics for a single haploid species where payoffs are density… Continue Reading
Competition between species has long been modeled by population dynamics based on total numbers of each species. Recently, the evolution of strategy frequencies has been used successfully for… Continue Reading
Abstract An existence and uniqueness theorem for the nonlinear complementarity problem over arbitrary closed convex cones in a reflexive real Banach space is established.
Abstract An age-structured discrete-time population model is developed that includes sex-dependent survival and fertility rates. Polygamous as well as monogamous mating systems are considered. If… Continue Reading
Let H be a complex Hilbert space. For any operator (bounded linear transformation) T on H , we denote the spectrum of T by σ( T ). Let T = ( T 1 , …, T n ) be an n -tuple of commuting operators on H… Continue Reading