Australian Mathematical Society (AustMS): E-Journals
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Fixed point theorem for an infinite Toeplitz matrix
No full texthttp://dx.doi.org/10.1017/S000497271200033
Efficient and nonintrusive electropumping of water in nanotubes
No full texthttp://dx.doi.org/10.1017/S000497271200033
Uniform lower bound and Liouville type theorem for fractional Lichnerowicz equations
No full texthttp://dx.doi.org/10.1017/S000497271200033
Connected components in the invariably generating graph of a finite group
No full texthttp://dx.doi.org/10.1017/S000497271200033
A Geometrically flexible and efficient numerical solution technique for Bragg edge neutron transmission strain tomography
No full texthttp://dx.doi.org/10.1017/S000497271200033
A shifted convolution sum of and the Fourier coefficients of Hecke-Maass forms II
No full textDOI:
10.1017/S000497271900100
Simplicity of twisted C-algebras of topological higher-rank graphs
No full textDOI:
10.1017/S000497272000020
On a class of nonlinear Schrdinger equations on finite graphs
No full textDOI:
10.1017/S000497272000014
On a non-standard two-species stochastic competing system and a related degenerate parabolic equation
Get PDFWe propose and analyse a new stochastic competing two-species population dynamics model. Competing algae population dynamics in river environments, an important engineering problem, motivates this model. The algae dynamics are described by a system of stochastic differential equations with the 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 foundation of modelling, analysis, and control of the competing algae population dynamics.
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