Results 31 to 40 of about 843 (137)

Memory‐Dependent Chaotic Dynamics and Stabilization of a Nonlinear Fractional‐Order Financial System With Optimal Control

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This study presents an innovative nonlinear fractional‐order financial model that employs Caputo and Caputo–Fabrizio fractional derivatives to represent the dynamic interactions among interest rates, investment demand, price indices, and income/output. The model is formulated as a system of coupled nonlinear differential equations to encapsulate memory‐
Md. Asraful Islam, Razia Sultana, Payer Ahmed, Huaiqin Wu   +3 more
wiley   +1 more source

On periodic water waves with Coriolis effects and isobaric streamlines

, 2012
In this paper we prove that solutions of the f-plane approximation for equatorial geophysical deep water waves, which have the property that the pressure is constant along the streamlines and do not possess stagnation points,are Gerstner-type waves ...
Constantin A., Constantin A., Constantin A., Constantin A., Constantin A., Constantin A., Constantin A., Gallagher I., Henry D., Henry D., Matioc A.-V., Matioc A.-V., Matioc A.-V., Matioc B.-V., Matioc B.-V., Stuhlmeier R., W. J.   +16 more
core   +1 more source

Forward and Backward Bisimulations for Chemical Reaction Networks [PDF]

, 2015
We present two quantitative behavioral equivalences over species of a chemical reaction network (CRN) with semantics based on ordinary differential equations.
Cardelli, Luca, Tribastone, Mirco, Tschaikowski, Max, Vandin, Andrea   +3 more
core   +4 more sources

An Overlapping One‐Step Multiderivative Hybrid Block Method for Solving Second‐Order Initial Value Problems

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
This paper presents a one‐step multiderivative hybrid block method of Order 12 that incorporates an overlapping strategy, in which intrastep points from the previous block are reused in the current step to enhance accuracy and stability when solving linear and nonlinear initial value problems.
Uthman O. Rufai, Precious Sibanda, Sicelo P. Goqo, Sandile Motsa, Theodore Simos   +4 more
wiley   +1 more source

Dynamics and Linear Feedback Control of a Novel Discrete Fractional‐Order Zika Virus Model With Multiroute Transmission

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study addresses the critical public health challenge posed by the Zika virus (ZIKV), a pathogen with complex multiroute transmission dynamics. We develop a novel discrete fractional‐order mathematical model to accurately capture the intrapopulation spread of ZIKV, enhancing traditional models by incorporating memory effects and long‐range ...
A. El-Mesady, Alaa M. Abd El-Latif, Yehya I. Mesalam, Shewafera Wondimagegnhu Teklu, Shaaban M. Shaaban, Smritijit Sen   +5 more
wiley   +1 more source

Modeling Prey–Predator Populations With Noise Following the Extended Gaussian Distribution

Journal of Probability and Statistics, Volume 2026, Issue 1, 2026.
This study examines how tourism influences the ecological balance of a protected natural park where two interacting wildlife species follow Lotka–Volterra‐type prey–predator dynamics. Tourists’ decisions to visit the park depend on environmental fluctuations, species visibility, and time‐varying preferences toward prey and predator populations.
Kumlachew Wubale Tesfaw, Ayele Taye Goshu, Tsegaye Simon Lachamo, Marek T. Malinowski   +3 more
wiley   +1 more source

Mathematical modelling of COVID-19 outbreak using caputo fractional derivative: stability analysis

Applied Mathematics in Science and Engineering
The novel coronavirus SARS-Cov-2 is a pandemic condition and poses a massive menace to health. The governments of different countries and their various prohibitory steps to restrict the virus's expanse have changed individuals' communication processes ...
Ihtisham Ul Haq, Nigar Ali, Abdul Bariq, Ali Akgül, Dumitru Baleanu, Mustafa Bayram   +5 more
doaj   +1 more source

Quasilinear Degenerate Evolution Systems Modelling Biofilm Growth: Well‐Posedness and Qualitative Properties

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 14890-14908, 15 November 2025.
ABSTRACT We analyze nonlinear degenerate coupled partial differential equation (PDE)‐PDE and PDE‐ordinary differential equation (ODE) systems that arise, for example, in the modelling of biofilm growth. One of the equations, describing the evolution of a biomass density, exhibits degenerate and singular diffusion.
K. Mitra, S. Sonner
wiley   +1 more source

Existence of a non‐stationary equilibrium in search‐and‐matching models: TU and NTU

Theoretical Economics, Volume 20, Issue 4, Page 1411-1460, November 2025.
This paper proves the existence of a non‐stationary equilibrium in the canonical search‐and‐matching model with heterogeneous agents. Non‐stationarity entails that the number and characteristics of unmatched agents evolve endogenously over time.
Christopher Sandmann, Nicolas Bonneton
wiley   +1 more source

Novel solutions and stability of quaternion differential equations: symmetry and asymmetry analyses using matrix representation and Lyapunov methods

Applied Mathematics in Science and Engineering
The article demonstrates the novel solutions available for several QDEs and offers incredible promise for the investigation of quaternion differential equations (QDEs).
Prasantha Bharathi Dhandapani, Anthony Raj Abraham, Hijaz Ahmad, Taha Radwan   +3 more
doaj   +1 more source