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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...
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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