Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On a non-standard two-species stochastic competing system and a related degenerate parabolic equation
View through CrossRef
AbstractWe propose and analyse a new stochastic competing two-species population dynamics model. Competing algae population dynamics in river environment, important engineering problems, motivate this model. It is a system of stochastic differential equations (SDEs) and has a characteristic that the two populations are competing with each other through the environmental capacities. Unique existence of the uniformly bounded strong solution is proven and an attractor is identified. The Kolmogorov backward equation associated with the population dynamics is formulated and its unique solvability in a Banach space with a weighted norm is discussed. Our mathematical analysis results can be effectively utilized for a base-stone of modelling, analysis, and control of the competing population dynamics.
Title: On a non-standard two-species stochastic competing system and a related degenerate parabolic equation
Description:
AbstractWe propose and analyse a new stochastic competing two-species population dynamics model.
Competing algae population dynamics in river environment, important engineering problems, motivate this model.
It is a system of stochastic differential equations (SDEs) and has a characteristic that the two populations are competing with each other through the environmental capacities.
Unique existence of the uniformly bounded strong solution is proven and an attractor is identified.
The Kolmogorov backward equation associated with the population dynamics is formulated and its unique solvability in a Banach space with a weighted norm is discussed.
Our mathematical analysis results can be effectively utilized for a base-stone of modelling, analysis, and control of the competing population dynamics.
Related Results
Parabolic quantitative rectifiability
Parabolic quantitative rectifiability
The purpose of this thesis is to develop a parabolic analog of uniform rectifiability. First, we provide a very general result concerning corona decompositions and the big pieces f...
Impacts of man-made structures on marine biodiversity and species status - native & non-native species
Impacts of man-made structures on marine biodiversity and species status - native & non-native species
<p>Coastal environments are exposed to anthropogenic activities such as frequent marine traffic and restructuring, i.e., addition, removal or replacing with man-made structur...
Split tasks of asymmetric nucleotide‐binding sites in the heterodimeric ABC exporter EfrCD
Split tasks of asymmetric nucleotide‐binding sites in the heterodimeric ABC exporter EfrCD
Many heterodimeric ATP‐binding cassette (ABC) exporters evolved asymmetric ATP‐binding sites containing a degenerate site incapable of ATP hydrolysis due to noncanonical substituti...
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Degenerate parabolic equations of Kolmogorov type occur in many areas of analysis and applied mathematics. In their simplest form these equations were introduced by Kolmogorov in 1...
Evolution of Antimicrobial Resistance in Community vs. Hospital-Acquired Infections
Evolution of Antimicrobial Resistance in Community vs. Hospital-Acquired Infections
Abstract
Introduction
Hospitals are high-risk environments for infections. Despite the global recognition of these pathogens, few studies compare microorganisms from community-acqu...
Steady-state dune shapes through the barchan-parabolic transition.
Steady-state dune shapes through the barchan-parabolic transition.
In the presence of vegetation, dunes take on specific shapes that can be observed not only on the edges of sandy deserts, but also in coastal areas and arid plains. These vegetated...
John–Nirenberg inequalities for parabolic BMO
John–Nirenberg inequalities for parabolic BMO
AbstractWe discuss a parabolic version of the space of functions of bounded mean oscillation related to a doubly nonlinear parabolic partial differential equation. Parabolic John–N...
Stochastic Modeling Of Space Dependent Reservoir-Rock Properties
Stochastic Modeling Of Space Dependent Reservoir-Rock Properties
Abstract
Numerical modeling of space dependent and variant reservoir-rock properties such as porosity, permeability, etc., are routinely used in the oil industry....