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We consider the Fisher-KPP equation with a nonlocal saturation effect defined through an interaction kernel φ(x) and investigate the possible differences with the standard Fisher-KPP equation. Our fir...
We consider the Fisher-KPP equation with a non-local interaction term. We establish a condition on the interaction that allows for existence of non-constant periodic solutions,and prove uniform upper ...
Chaos and optimal control of steady-states of tumor with drug     Limit cycles  Chaotic behavior  Attractors       font style='font-size:12px;'> 2010/9/13
This paper is devoted to study the problems of chaos and optimal control of tumor system with drug. The stability analysis of the biologically feasible steady states is presented using a local stabili...
For autonomous oscillators, we propose an algorithm to compute their steady-state responses by homotopic process with generalized inverses.In the Newton iterations of the process the computing procedu...
In this paper we deal with the positive steady states ofa Competitor-Competitor-Mutualist model with diffusion andhomogeneous Dirichlet boundary conditions. We first give thenecessary conditions, and ...

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