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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 ...
Dynamics of concentrated polymer solutions are modeled by a Smoluchowski equation. At high concentrations, such solutions form liquid crystalline polymers of nematic structure. We prove that at high i...
Abstract: The aim of this paper is to prove results about the existence and stability of multiple steady states in a system of ordinary differential equations introduced by R. Lev Bar-Or to model the ...
Abstract: Non-equilibrium steady states of quantum fields on star graphs are explicitly constructed. These states are parametrized by the temperature and the chemical potential, associated with each e...
We develop a comparative thermodynamic theory, based on master-equation description of driven chemical reactions, for quasi-steady-state (QSS) and open-system nonequilibrium steady-state (NESS) sustai...
Filyokov and Karpov [Inzhenerno-Fizicheskii Zhurnal 13, 624 (1967)] have proposed a theory of non-equilibrium steady states in direct analogy with the theory of equilibrium states : the principle is ...
We argue that there is a fundamental problem regarding the analysis that serves as the foundation for the papers {\it Information theory explanation of the fluctuation theorem, maximum entropy product...
Nonlinear Noisy Leaky Integrate and Fire (NNLIF) models for neurons networks can be written as Fokker-Planck-Kolmogorov equations on the probability density of neurons, the main parameters in the mode...
Steady states of the thin film equation ut + [u3 (uθθθ + 2uθ − sin )]θ = 0 are considered on the periodic domain = (−, ). The equation defines a generalized gradient flow for an ene...
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 ...
In this paper, we study the positive steady states of a prey--predator model with diffusion throughout and a non-monotone conversion rate under the homogeneous Dirichlet boundary condition. We obtain ...
Multiple steady states in the atmosphere-biosphere system can arise as a consequence of interactions and positive feedbacks. While atmospheric conditions affect vegetation productivity in terms of ava...

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