Search Results - "reaction–diffusion system"

Diffusion and discrete temporal models of the population growth of domestic cats in urban areas

Authors: Rodrigo Perusquía-Cortés Pablo Padilla

Source: Scientific Reports, Vol 15, Iss 1, Pp 1-17 (2025)

Subject Terms: Free-ranging cat, Population dynamics, Reaction-diffusion system, Discrete dynamical system, Control methods, Agent-based models, Medicine, Science

File Description: electronic resource

Relation: https://doaj.org/toc/2045-2322

Access URL: https://doaj.org/article/69a2f0300757444f8e8f8b3312b006ca

Persistence, Extinction, and Spreading Properties of Noncooperative Fisher–KPP Systems in Space-Time Periodic Media

Authors: Léo Girardin Centre National de la Recherche Scientifique (CNRS) Institut Camille Jordan (ICJ) et al.

Contributors: Léo Girardin Centre National de la Recherche Scientifique (CNRS) Institut Camille Jordan (ICJ) et al.

Source: SIAM Journal on Mathematical Analysis. 57:233-261

Subject Terms: Mathematics - Analysis of PDEs, 35K57, KPP nonlinearities, MSC 35K40, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], space-time periodicity, reaction-diffusion system, 92D25, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2305.18857

Effects of anisotropic diffusion on the dynamics of a predator-prey system in heterogeneous environments

Authors: Yu, Hongqiang Yang, Wenbin Li, Yanling

Source: Discrete and Continuous Dynamical Systems - B. 30:265-288

Subject Terms: Bifurcations in context of PDEs, heterogeneous environments, predator-prey model, anisotropic diffusion, reaction-diffusion system, Stability in context of PDEs

File Description: application/xml

Threshold propagation in a May-Nowak type degenerate reaction-diffusion viral model on periodically evolving domain

Authors: Wang, Jie Song, Pengyu Wang, Shuang-Ming et al.

Source: Discrete and Continuous Dynamical Systems - B. 30:1415-1440

Subject Terms: Population dynamics (general), threshold dynamics, Reaction-diffusion equations, Epidemiology, Free boundary problems for PDEs, degenerate reaction-diffusion system, basic reproduction ratio, May-Nowak-type viral model, periodically evolving domain, ODE-PDE system

File Description: application/xml

Coexisting steady-state solutions of a class of reaction-diffusion systems with different boundary conditions

Authors: Ningning Zhu Dongpo Hu Huili Bi

Source: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2025, Iss 38, Pp 1-14 (2025)

Subject Terms: reaction-diffusion system, steady-state, existence, boundary condition, Mathematics, QA1-939

File Description: electronic resource

Relation: http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=11354; https://doaj.org/toc/1417-3875

Access URL: https://doaj.org/article/d0dfbc8abf8b4d0abf3078dbd724e0e4

Stability analysis of fractional two-dimensional reaction-diffusion model with applications in biological processes

Authors: Ishtiaq Ali Saeed Islam

Source: AIMS Mathematics, Vol 10, Iss 5, Pp 11732-11756 (2025)

Subject Terms: fraction reaction-diffusion system in 2d, biological processes, local and global stability, spectral method, lyapunov method, numerical simulations, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/723886bae54b4511bcbc87ab3bb1d8e5

Turing pattern formation in a specialist predator–prey model with a herd‐Holling‐type II functional response

Authors: Giuseppe Alì Isabella Torcicollo

Source: Mathematical Methods in the Applied Sciences. 48:731-747

Subject Terms: linear cross diffusion, reaction–diffusion system, predator–prey, Turing instability, 0103 physical sciences, 0101 mathematics, 01 natural sciences

File Description: application/pdf

Analysis of a diffusive chemical reaction model in three space dimensions

Authors: Nauman Ahmed Javaid Ali Ali Akgül et al.

Source: Numerical Heat Transfer, Part B: Fundamentals. 86:3678-3695

Subject Terms: positive solutions, Glycolysis model, reaction-diffusion system, nonstandard finite difference scheme, operator splitting

Access URL: https://hdl.handle.net/20.500.12604/6970

Layered Patterns in Reaction–Diffusion Models with Perona–Malik Diffusions

Authors: Alessandra De Luca Raffaele Folino Marta Strani

Source: Milan Journal of Mathematics. 92:195-234

Subject Terms: Atmospheric Science, Water Models, Materials Science, Ice Nucleation and Melting Phenomena, Mathematical analysis, Diffusion, Mathematics - Analysis of PDEs, Phase-Field Models, Materials Chemistry, FOS: Mathematics, Perona-Malik diffusion, Compactons, Energy estimates, Asymptotic behavior, Multiscale Methods for Heterogeneous Systems, Physics, Applied mathematics, Upscaling Techniques, Homogeneous Nucleation, Earth and Planetary Sciences, Computational Theory and Mathematics, Reaction–diffusion system, Molecular Dynamics Simulations, Computer Science, Physical Sciences, Phase-Field Modeling of Microstructure Evolution, Thermodynamics, Statistical physics, Mathematics, Analysis of PDEs (math.AP)

Access URL: http://arxiv.org/abs/2303.13644
https://hdl.handle.net/10278/5076101
https://doi.org/10.1007/s00032-024-00398-5

On wavefront patterns in a fractional reaction–diffusion model for predator–prey system with anti-predator behavior

Authors: M. B. A. Mansour

Source: Indian Journal of Physics. 98:4535-4541

Subject Terms: Artificial intelligence, Computer Networks and Communications, Predation, Control (management), 01 natural sciences, Mathematical analysis, Functional response, Diffusion, Dynamics of Synchronization in Complex Networks, Wavefront, 0103 physical sciences, Health Sciences, FOS: Mathematics, Control theory (sociology), Pattern Formation, Biology, Anomalous Diffusion Modeling and Analysis, Ecology, Time-Fractional Diffusion Equation, Physics, Public Health, Environmental and Occupational Health, Optics, Computer science, Fractional Derivatives, Reaction–diffusion system, Disease Transmission and Population Dynamics, Modeling and Simulation, Biological system, FOS: Biological sciences, Computer Science, Physical Sciences, Medicine, Thermodynamics, Reaction-Diffusion Model, Predator-Prey Interactions, Mathematics, Predator

Travelling wave solution of fourth order reaction diffusion equation using hybrid quintic hermite splines collocation technique

Authors: Kumari Priyanka Fateh Mebarek‐Oudina Saroj Kumar Sahani et al.

Source: Arabian Journal of Mathematics. 13:341-367

Subject Terms: Economics, Quintic function, Collocation (remote sensing), Periodic Wave Solutions, Mathematical analysis, Quantum mechanics, 01 natural sciences, Diffusion, Numerical Methods for Singularly Perturbed Problems, Machine learning, 0103 physical sciences, FOS: Mathematics, Reaction-Diffusion Equations, Convection-Diffusion Problems, 0101 mathematics, Anomalous Diffusion Modeling and Analysis, Order (exchange), Numerical Analysis, Hermite polynomials, Integrable Turbulence, Time-Fractional Diffusion Equation, Physics, Statistical and Nonlinear Physics, Applied mathematics, Computer science, Traveling wave, Physics and Astronomy, Reaction–diffusion system, Modeling and Simulation, Physical Sciences, Nonlinear system, Thermodynamics, Hermite interpolation, Mathematics, Finance, Rogue Waves in Nonlinear Systems

The minimal invasion speed of two competing species in homogeneous environment

Authors: Xu Li Tingting Zhang Qiming Zhang

Source: Mathematics in Applied Sciences and Engineering, Vol 4, Iss 4, Pp 339-350 (2023)
Mathematics in Applied Sciences and Engineering, Vol 4, Iss 4 (2023)

Subject Terms: T57-57.97, minimum invasion speed, reaction-diffusion system, nonlinear competition, propagation dynamics, homogeneous environment, Applied mathematics. Quantitative methods, Minimum invasion speed, reaction-diffusion system, nonlinear competition, propagation dynamics, homogeneous environment

Access URL: https://doaj.org/article/17bf09654af7460dadb210c913598ae7
https://doaj.org/article/430ae4430b70447b8c78e599e73e341d

Analysing transitions from a Turing instability to large periodic patterns in a reaction-diffusion system

Authors: Christopher Brown Gianne Derks Peter van Heijster et al.

Source: Nonlinearity. 36:6839-6878

Subject Terms: 34D15, 34E15, 35K40, 35K57, 37J46, Three-component reaction-diffusion system, three-component reaction-diffusion system, Geometrical singular perturbation techniques, 37J46, 34E15, 35K40, Dynamical Systems (math.DS), 34D15, 01 natural sciences, near-equilibrium patterns, Near-equilibrium patterns, 35K57, geometrical singular perturbation techniques, 0103 physical sciences, FOS: Mathematics, far-from-equilibrium patterns, Mathematics - Dynamical Systems, 0101 mathematics, Far-from-equilibrium patterns

File Description: application/pdf

Access URL: http://arxiv.org/abs/2301.08075
https://hdl.handle.net/1887/3677067

The Hopf Bifurcation Analysis of the Boissonade Model with Time Delay and Diffusion

Authors: Shiyu Zuo Liqin Liu

Source: Mathematics, Vol 13, Iss 22, p 3599 (2025)

Subject Terms: Boissonade model, Hopf bifurcation, reaction-diffusion system, time delay, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2227-7390/13/22/3599; https://doaj.org/toc/2227-7390

Access URL: https://doaj.org/article/1098bc3ef42f49d1a0cff1c18131988d

Mathematical Model of Infection Propagation Mediated by Circulating Macrophages

Authors: Meriem Bouzari Latifa Ait Mahiout Anastasia Mozokhina et al.

Source: Mathematics, Vol 13, Iss 21, p 3360 (2025)

Subject Terms: infection propagation, innate immunity, cytokine signaling, macrophage activation, reaction-diffusion system, Mathematics, QA1-939

File Description: electronic resource

Relation: https://www.mdpi.com/2227-7390/13/21/3360; https://doaj.org/toc/2227-7390

Access URL: https://doaj.org/article/659e11dfe2c24b5ea5e1a53e1625ddfb

Stability Analysis of a Master–Slave Cournot Triopoly Model: The Effects of Cross-Diffusion

Authors: Maria Francesca Carfora Isabella Torcicollo

Source: Axioms, Vol 14, Iss 7, p 540 (2025)

Subject Terms: reaction–diffusion system, Turing instability, Turing pattern formation, QA1-939, reaction-diffusion system, Mathematics

Access URL: https://doaj.org/article/2daad5396b1a4dd0b41b4bf3fd56deab

Oscillatory and chaotic pattern dynamics driven by surface curvature

Authors: Ryosuke Nishide Shuji Ishihara

Source: Nishide, R & Ishihara, S 2025, ' Oscillatory and chaotic pattern dynamics driven by surface curvature ', Physical Review E, vol. 111, no. 2, L022202 . https://doi.org/10.1103/PhysRevE.111.L022202

Subject Terms: Sphere, Biological Physics (physics.bio-ph), FOS: Physical sciences, Reaction-diffusion system, Physics - Biological Physics, Pattern Formation and Solitons (nlin.PS), Chaotic Dynamics (nlin.CD), Turing patterns, Nonlinear Sciences - Chaotic Dynamics, Nonlinear Sciences - Pattern Formation and Solitons

File Description: application/pdf

Access URL: https://pubmed.ncbi.nlm.nih.gov/40103164
http://arxiv.org/abs/2403.12442
https://curis.ku.dk/ws/files/445712263/PhysRevE.111.L022202.pdf

Weakly nonlinear analysis of Turing pattern dynamics on curved surfaces

Authors: Ryosuke Nishide Shuji Ishihara

Source: Nishide, R & Ishihara, S 2025, ' Weakly nonlinear analysis of Turing pattern dynamics on curved surfaces ', Physical Review E, vol. 111, no. 2, 024208 . https://doi.org/10.1103/PhysRevE.111.024208

Subject Terms: Sphere, Biological Physics (physics.bio-ph), Autowaves, Membrane, FOS: Physical sciences, Reaction-diffusion system, Physics - Biological Physics, Pattern Formation and Solitons (nlin.PS), Chaotic Dynamics (nlin.CD), Nonlinear Sciences - Chaotic Dynamics, Nonlinear Sciences - Pattern Formation and Solitons, Model

File Description: application/pdf

Access URL: https://pubmed.ncbi.nlm.nih.gov/40103169
http://arxiv.org/abs/2403.12444
https://curis.ku.dk/ws/files/445713204/PhysRevE.111.024208.pdf

The conjugate gradient approach to solve two dimensions linear elliptic boundary value equations as a prototype of the reaction diffusion system

Authors: Ahmed Jaber Baghdad Science Journal Tarek Saidani

Source: Al-Salam Journal for Engineering and Technology. 3:157-168

Subject Terms: Conjugate, Physics, Mathematical optimization, Elliptic Problems, Conjugate gradient method, Applied mathematics, Mathematical analysis, Diffusion, Computational Theory and Mathematics, Reaction–diffusion system, Computer Science, Physical Sciences, FOS: Mathematics, Thermodynamics, Multiscale Methods for Heterogeneous Systems, Boundary value problem, Mathematics

Stability analysis and simulations of tumor growth model based on system of reaction-diffusion equation in two-dimensions

Authors: Ali Sadiq Alabdrabalnabi Ishtiaq Ali

Source: AIMS Mathematics, Vol 9, Iss 5, Pp 11560-11579 (2024)

Subject Terms: numerical simulations, 0301 basic medicine, reaction-diffusion system with delay, 0303 health sciences, 03 medical and health sciences, equilibrium points, QA1-939, tumor growth model, stability analysis, Mathematics

Access URL: https://doaj.org/article/70d1636b232c49299595e65022b0b0fe