The purpose of this work is to analyze mathematical models describing the behavior of individuals inhabiting an environment with spatial heterogeneity. The latter means that the environment influences the reproductivity and mobility of the species. This effect is obtained if we model the density function of these organisms by evolution partial differential equations with nonconstant coefficient...

based on some stationary periodic solutions and stationary soliton solutions, one studies the general solution for the relative lax system, and a number of exact solutions to the korteweg-de vries (kdv) equation are first constructed by the known darboux transformation, these solutions include double and triple singular periodic solutions as well as singular soliton solutions whose amplitude de...

Robust recognition theory has become one of research focuses of acoustic speech recognition. Acoustic speech digital signal is a random process repeatedly alternating stationary pieces with non-stationary pieces. However both the current linear and stationary characteristic parameters drawn from such signals and the rigid recognition models do not adapt to such repeatedly alternating property o...

In a changing climate arising from anthropogenic global warming, the nature of extreme climatic events is changing over time. Existing analytical stationary-based risk methods, however, assume multi-dimensional extreme climate phenomena will not significantly vary over time. To strengthen the reliability of infrastructure designs and the management of water systems in the changing environment, ...

Multi-armed bandit tasks have been extensively used to model the problem of balancing exploitation and exploration. A most challenging variant of the MABP is the non-stationary bandit problem where the agent is faced with the increased complexity of detecting changes in its environment. In this paper we examine a non-stationary, discrete-time, finite horizon bandit problem with a finite number ...

comnode classification within membrane residue curves (m-rcms) currently hinges on lyapunov’s theorem and therefore the computation of mathematically complex eigenvalues. this paper presents an alternative criterion for the classification of nodes within m-rcms based on the total membrane flux at node compositions. this paper demonstrates that for a system exhibiting simple permeation behaviour...

comNode classification within Membrane Residue Curves (M-RCMs) currently hinges on Lyapunov’s Theorem and therefore the computation of mathematically complex eigenvalues. This paper presents an alternative criterion for the classification of nodes within M-RCMs based on the total membrane flux at node compositions. This paper demonstrates that for a system exhibiting simple permeation behaviour...

in this paper, the ambiguity of nite state irreducible markov chain trajectories is reminded and is obtained for two state markov chain. i give an applicable example of this concept in president election