کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10728460 1038038 2005 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Families of equilibria and dynamics in a population kinetics model with cosymmetry
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Families of equilibria and dynamics in a population kinetics model with cosymmetry
چکیده انگلیسی
We consider a system of nonlinear parabolic equations with an additional property-the so-called cosymmetry-which implies the appearance of a nontrivial family of equilibria. By nontrivial we mean that the stability spectrum is not constant along the family of stationary states. The present system generalizes a special case of a distributed population model discussed in [Computing 16 (Suppl.) (2002) 67] from two to three species. The components of the system have the interpretation of interacting populations which inhabit a common domain. For this Letter we concentrate on the 1D case and apply a finite-difference scheme which respects the cosymmetry. We describe the scenario of instability for the state of rest and observe a rich palette of regimes depending on model parameters and on the initial state.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 338, Issue 1, 18 April 2005, Pages 51-59
نویسندگان
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