Results 11 to 20 of about 126 (94)

Positive almost periodic solutions of nonautonomous evolution equations and application to Lotka–Volterra systems

Mathematical Methods in the Applied Sciences, Volume 46, Issue 11, Page 11780-11801, 30 July 2023., 2023
The aim of this paper is to establish some sufficient conditions ensuring the existence and uniqueness of positive (Bohr) almost periodic solutions to a class of semilinear evolution equations of the form: u′(t)=A(t)u(t)+f(t,u(t)),t∈ℝ$$ {u}^{\prime }(t)=A(t)u(t)+f\left(t,u(t)\right),t\in \mathbb{R} $$.
Kamal Khalil
wiley   +1 more source

Data‐driven coordination of subproblems in enterprise‐wide optimization under organizational considerations

AIChE Journal, Volume 69, Issue 4, April 2023., 2023
Abstract While decomposition techniques in mathematical programming are usually designed for numerical efficiency, coordination problems within enterprise‐wide optimization are often limited by organizational rather than numerical considerations.
Damien van de Berg, Panagiotis Petsagkourakis, Nilay Shah, Ehecatl Antonio del Rio‐Chanona   +3 more
wiley   +1 more source

The Dynamics of a Delayed Ecoepidemiological Model with Nonlinear Incidence Rate

Journal of Applied Mathematics, Volume 2023, Issue 1, 2023., 2023
In this paper, the general framework for calculating the stability of equilibria, Hopf bifurcation of a delayed prey‐predator system with an SI type of disease in the prey population, is investigated. The impact of the incubation period delay on disease transmission utilizing a nonlinear incidence rate was taken into account.
Reem Mudar Hussien, Raid Kamel Naji, Chong Lin   +2 more
wiley   +1 more source

Eco‐Epidemiological Mathematical Model Analysis With Time Delays and Hopf Bifurcation

Natural Resource Modeling, Volume 39, Issue 2, May 2026.
ABSTRACT Ecological and infection predator prey mathematical model is important tool for understanding complex systems and forecasting outcomes biologically. Incorporating saturation mass action incidence rates representing the rate of susceptible prey infection as a function of time along with time delay terms, makes more realistic and reflective of ...
Solomon Molla Alemu, Mohammed Yiha Dawed, Tesfaye Tefera Mamo   +2 more
wiley   +1 more source

Existence of Hydra Effect in a Three‐Species Food Chain Mathematical Model With General Holling Type Response Functions

Natural Resource Modeling, Volume 38, Issue 4, November 2025.
ABSTRACT This study explores existence of hydra effect and sustainable harvesting strategies in three species food chain system with all‐purpose Holling type response functions (HT‐I, II, III, and IV). The hydra effect (as mentioned in Sieber and Hilker 2012) is superficially ecological paradox which refers to an increase of a species population size ...
Solomon Molla Alemu, Mohammed Yiha Dawed, Tesfaye Tefera Mamo   +2 more
wiley   +1 more source

Nonlocal Cooperative Behavior, Psychological Effects, and Collective Decision‐Making: An Exemplification With Predator–Prey Models

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.
ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha, Swadesh Pal, Roderick Melnik   +2 more
wiley   +1 more source

General Decay and Blowing‐Up Solutions of a Nonlinear Wave Equation With Nonlocal in Time Damping and Infinite Memory

Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9046-9057, 30 May 2025.
ABSTRACT This paper shows that long‐term stability and blowing‐up solutions for a nonlinear wave equation with a nonlocal damping of Choi and MacCamy type and a nonlocal dispersion can occur. The method of proof of general decay relies on a suitable Lyapunov functional.
Mokhtar Kirane, Radhouane Aounallah, Lotfi Jlali   +2 more
wiley   +1 more source

A Theory of Generalized Coordinates for Stochastic Differential Equations

Studies in Applied Mathematics, Volume 154, Issue 5, May 2025.
ABSTRACT Stochastic differential equations are ubiquitous modeling tools in applied mathematics and the sciences. In most modeling scenarios, random fluctuations driving dynamics or motion have some nontrivial temporal correlation structure, which renders the SDE non‐Markovian; a phenomenon commonly known as ‘colored’’ noise.
Lancelot Da Costa, Nathaël Da Costa, Conor Heins, Johan Medrano, Grigorios A. Pavliotis, Thomas Parr, Ajith Anil Meera, Karl Friston   +7 more
wiley   +1 more source

Variation of parameters and initial time difference Lipschitz stability of impulsive differential equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 3, Page 3496-3508, February 2025.
In this paper, we investigate the Lipschitz stability of a perturbed impulsive differential system concerning the unperturbed system. We employ the variation of parameters or the constant of variation for impulsive differential systems with an initial time difference.
Saliha Demirbüken, Coşkun Yakar
wiley   +1 more source

Carnot rectifiability and Alberti representations

Proceedings of the London Mathematical Society, Volume 130, Issue 1, January 2025.
Abstract A metric measure space is said to be Carnot‐rectifiable if it can be covered up to a null set by countably many bi‐Lipschitz images of compact sets of a fixed Carnot group. In this paper, we give several characterisations of such notion of rectifiability both in terms of Alberti representations of the measure and in terms of differentiability ...
G. Antonelli, E. Le Donne, A. Merlo
wiley   +1 more source