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arxiv: 1008.3125 · v1 · pith:M5JXAWC2new · submitted 2010-08-18 · 🧮 math.AP

On Nonlocal Parabolic Steady-State Equations of Cooperative or Competing Systems

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keywords systemscompetingcooperativeequationsnonlocalparabolicsolutionssteady-state
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Some systems of parabolic equations with nonlocal initial conditions are studied. The systems arise when considering steady-state solutions to diffusive age-structured cooperative or competing species. Local and global bifurcation techniques are employed to derive a detailed description of the structure of positive coexistence solutions.

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