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The non-local Fisher-KPP equation:traveling waves and steady states
non-local Fisher-KPP equation traveling waves steady states
2015/7/14
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...
On the nonlocal Fisher-KPP equation:steady states,spreading speed and global bounds
nonlocal Fisher-KPP equation steady states spreading speed global bounds
2015/7/14
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
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...
Steady-states of nonlinear oscillators based on homotopic process with generalized inverses
steady-state response nonlinear oscillator Newton iteration
2010/9/16
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...
Positive Steady States of a Competitor-Competitor-Mutualist Model
Positive steady states Competitor-Competitor-Mutualist model
2007/12/11
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 ...