Results 1 to 10 of about 39 (25)

Stochastic optimal and time-optimal control studies for additional food provided prey–predator systems involving Holling type III functional response

open access: yesComputational and Mathematical Biophysics, 2023
This article consists of a detailed and novel stochastic optimal control analysis of a coupled non-linear dynamical system. The state equations are modelled as an additional food-provided prey–predator system with Holling type III functional response for
Prakash Daliparthi Bhanu   +1 more
doaj   +1 more source

BROOKS’ THEOREM FOR MEASURABLE COLORINGS

open access: yesForum of Mathematics, Sigma, 2016
We generalize Brooks’ theorem to show that if $G$ is a Borel graph on a standard Borel space $
CLINTON T. CONLEY   +2 more
doaj   +1 more source

Random entropy and recurrence

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 47, Page 2977-2988, 2003., 2003
We show that a cocycle, which is nothing but a generalized random walk with index set ℤd, with bounded step sizes is recurrent whenever its associated random entropy is zero, and transient whenever its associated random entropy is positive. This generalizes a well‐known one‐dimensional result and implies a Polya type dichotomy for this situation.
Karma Dajani, Ronald Meester
wiley   +1 more source

ADDITIVITY PROPERTIES OF SOFIC ENTROPY AND MEASURES ON MODEL SPACES

open access: yesForum of Mathematics, Sigma, 2016
Sofic entropy is an invariant for probability-preserving actions of sofic groups. It was introduced a few years ago by Lewis Bowen, and shown to extend the classical Kolmogorov–Sinai entropy from the setting of amenable groups.
TIM AUSTIN
doaj   +1 more source

On the application of ergodic theory to alternating Engel series

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 12, Page 813-819, 2001., 2001
We investigate the ergodic behaviour of the basic operator which generates the modified Engel‐type alternating series representations of any number in (0, 1] in terms of rationals.
C. Ganatsiou
wiley   +1 more source

On some properties of the Lüroth‐type alternating series representations for real numbers

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 6, Page 367-373, 2001., 2001
We investigate some properties connected with the alternating Lüroth‐type series representations for real numbers, in terms of the integer digits involved. In particular, we establish the analogous concept of the asymptotic density and the distribution of the maximum of the first n denominators, by applying appropriate limit theorems.
C. Ganatsiou
wiley   +1 more source

Measurable Vizing’s theorem

open access: yesForum of Mathematics, Sigma
We prove a full measurable version of Vizing’s theorem for bounded degree Borel graphs, that is, we show that every Borel graph $\mathcal {G}$ of degree uniformly bounded by $\Delta \in \mathbb {N}$ defined on a standard probability space
Jan Grebík
doaj   +1 more source

Analytic solution of a fractional-order hepatitis model using Laplace Adomian decomposition method and optimal control analysis

open access: yesComputational and Mathematical Biophysics
Infectious illnesses like hepatitis place a heavy cost on global health, and precise mathematical models must be created in order to understand and manage them.
Aguegboh Nnaemeka S.   +4 more
doaj   +1 more source

Existence and uniqueness of solution for a fractional hepatitis B model

open access: yesComputational and Mathematical Biophysics
Understanding the dynamics of infectious diseases using mathematical modeling is essential for developing prevention and control measures. Hepatitis B is still a major public health issue in many places, including Kenya, where the high incidence of ...
Aguegboh Nnaemeka Stanley   +5 more
doaj   +1 more source

Analysis of a fractional-order prey-predator model with prey refuge and predator harvest using the consumption number: Holling type III functional response

open access: yesComputational and Mathematical Biophysics
In this article, we study a fractional-order prey-predator model incorporating prey refuge and predator harvesting, employing a Holling type III functional response.
Aguegboh Nnaemeka Stanley   +5 more
doaj   +1 more source

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