The Carleman Contraction Mapping Method for a Coefficient Inverse Problem of the Epidemiology: The Carleman contraction mapping method for a coefficient inverse problem of the epidemiology

Συγγραφείς: Michael V. Klibanov, Trung Truong

Πηγή: SIAM Journal on Applied Mathematics. 85:848-874

Θεματικοί όροι: monitoring epidemics, Inverse problems for PDEs, convexification, 35R30, Reaction-diffusion equations, Epidemiology, numerical studies, FOS: Mathematics, Initial-boundary value problems for second-order parabolic systems, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), coefficient inverse problem, Carleman estimate

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2412.00297

Intraguild Predation Communities with Anti-predator Behavior: Intraguild predation communities with anti-predator behavior

Συγγραφείς: F. Farivar, G. Gambino, V. Giunta, M. C. Lombardo, M. Sammartino

Πηγή: SIAM Journal on Applied Dynamical Systems. 24:1110-1149

Θεματικοί όροι: Bifurcations in context of PDEs, ecological niches, Quasilinear parabolic equations, Ecology, bistability, pattern formation, Pattern formations in context of PDEs, avoidance behavior, cross-diffusion, Initial-boundary value problems for second-order parabolic systems, Hopf bifurcation, Turing bifurcation, Animal behavior

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Σύνδεσμος πρόσβασης: https://zbmath.org/8031113
https://doi.org/10.1137/24m1632747
https://cronfa.swan.ac.uk/Record/cronfa69375

A switch in dimension dependence of critical blow-up exponents in a Keller-Segel system involving indirect signal production

Συγγραφείς: Tao, Youshan, Winkler, Michael

Πηγή: Journal of Differential Equations. 423:197-239

Θεματικοί όροι: Blow-up in context of PDEs, Quasilinear parabolic equations, Mathematics - Analysis of PDEs, Cell movement (chemotaxis, etc.), FOS: Mathematics, Initial-boundary value problems for second-order parabolic systems, chemotaxis, critical nonlinearity, elliptic-parabolic system, blow-up, Analysis of PDEs (math.AP), 35B44 (primary), 35K57, 35K59, 35Q92, 92C17 (secondary)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2411.06475

Rotating spirals in segregated reaction-diffusion systems

Συγγραφείς: Ariel Salort, Susanna Terracini, Gianmaria Verzini, Alessandro Zilio

Πηγή: Analysis & PDE. 18:549-590

Θεματικοί όροι: Computer Networks and Communications, Dirichlet distribution, Mathematical analysis, Quantum mechanics, 01 natural sciences, Mathematics - Analysis of PDEs, Dynamics of Synchronization in Complex Networks, FOS: Mathematics, Scaling Limits, Homogeneous, Initial-boundary value problems for second-order parabolic systems, competition-diffusion systems, 0101 mathematics, singular perturbation, Boundary value problem, Mathematical Physics, Singular perturbations in context of PDEs, Omega, Dirichlet boundary condition, Neumann boundary condition, Scaling Limits of Interacting Particle Systems, Physics, Statistical and Nonlinear Physics, Invariant (physics), 35B25, 35B36, 35K51, 92D25, Population dynamics (general), Reaction-diffusion equations, Physics and Astronomy, Boundary (topology), Combinatorics, Pattern formations in context of PDEs, free boundary problems, Mathematical physics, Computer Science, Physical Sciences, Free boundary problems for PDEs, Characterization of Chaotic Quantum Dynamics and Structures, spiral waves, Mathematics, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2202.10369
https://zbmath.org/8016935
https://doi.org/10.2140/apde.2025.18.549

Global Solvability of Two-Dimensional Stochastic Chemotaxis-Navier-Stokes System: Global solvability of two-dimensional stochastic chemotaxis-Navier-Stokes system

Συγγραφείς: Xu, Fan, Liu, Bin

Πηγή: East Asian Journal on Applied Mathematics. 15:242-267

Θεματικοί όροι: martingale solution, Quasilinear parabolic equations, Stochastic partial differential equations (aspects of stochastic analysis), Cell movement (chemotaxis, etc.), stochastic chemotaxis-Navier-Stokes system, mild solution, Initial-boundary value problems for second-order parabolic systems, PDEs with randomness, stochastic partial differential equations, Weak solutions to PDEs

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Σύνδεσμος πρόσβασης: https://zbmath.org/8010618
https://doi.org/10.4208/eajam.2023-114.050224

On the principal eigenvalue of cooperative elliptic systems with applications to a population model with two reversible states

Συγγραφείς: Wang, Lin, Lam, King-Yeung, Zhang, Bo

Πηγή: Discrete and Continuous Dynamical Systems - B. 30:2306-2325

Θεματικοί όροι: Population dynamics (general), Reaction-diffusion equations, Problems related to evolution, principal eigenvalue, Boundary value problems for second-order elliptic systems, Estimates of eigenvalues in context of PDEs, Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators, Initial-boundary value problems for second-order parabolic systems, one space dimension, cooperative elliptic system, mathematical ecology, evolution of dispersal

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Σύνδεσμος πρόσβασης: https://zbmath.org/8019995
https://doi.org/10.3934/dcdsb.2024166

Spatial pattern formation in pine wilt disease model with prey-taxis and nonlocal competition

Συγγραφείς: Hou, Yanchuang, Ding, Yuting, Jiang, Weihua

Πηγή: Discrete and Continuous Dynamical Systems - B. 30:3479-3504

Θεματικοί όροι: Bifurcations in context of PDEs, Reaction-diffusion equations, Pattern formations in context of PDEs, nonlocal competition, Initial-boundary value problems for second-order parabolic systems, Turing-Hopf bifurcation, multiple time scales method, Developmental biology, pattern formation, Stability in context of PDEs, prey-taxis, pine wilt disease

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Σύνδεσμος πρόσβασης: https://zbmath.org/8036726
https://doi.org/10.3934/dcdsb.2025030

Convergence of Boundary Layers of Chemotaxis Models with Physical Boundary Conditions I: Degenerate Initial Data: Convergence of boundary layers of chemotaxis models with physical boundary conditions. I: Degenerate initial data

Συγγραφείς: Carrillo, José A., Hong, Guangyi, Wang, Zhi-an

Πηγή: SIAM Journal on Mathematical Analysis

Θεματικοί όροι: physical boundary conditions, Mathematics - Analysis of PDEs, antiderivative, Asymptotic behavior of solutions to PDEs, Cell movement (chemotaxis, etc.), PDEs in connection with biology, chemistry and other natural sciences, linear sensitivity, FOS: Mathematics, Initial-boundary value problems for second-order parabolic systems, chemotaxis, boundary layers, Singular perturbations in context of PDEs, Analysis of PDEs (math.AP)

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2401.01437
https://ora.ox.ac.uk/objects/uuid:73f8af12-d86c-4cf5-9e4a-f3536c65d960
https://doi.org/10.1137/24m1628426

Continuous solutions for a two-dimensional cross-diffusion problem involving doubly degenerate diffusion and logistic proliferation

Συγγραφείς: Li, Genglin, Winkler, Michael

Πηγή: Analysis and Applications. 23:489-510

Θεματικοί όροι: Reaction-diffusion equations, logistic source, Cell movement (chemotaxis, etc.), Initial-boundary value problems for second-order parabolic systems, chemotaxis, Degenerate parabolic equations, degenerate diffusion

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Turing-Hopf bifurcation analysis and normal form in delayed diffusive predator–prey system with taxis and fear effect: Turing-Hopf bifurcation analysis and normal form in delayed diffusive predator-prey system with taxis and fear effect

Συγγραφείς: Yehu Lv

Πηγή: Journal of Applied Mathematics and Computing. 70:5721-5761

Θεματικοί όροι: Normal forms for dynamical systems, Population dynamics (general), taxis, normal form, fear effect, Initial-boundary value problems for second-order parabolic systems, Turing-Hopf bifurcation, Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems, time delay, Semilinear parabolic equations, Periodic solutions to PDEs

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Σύνδεσμος πρόσβασης: https://zbmath.org/8036680
https://doi.org/10.1007/s12190-024-02183-4

Global solvability in a three-dimensional self-consistent chemotaxis-Navier–Stokes system with porous medium diffusion: Global solvability in a three-dimensional self-consistent chemotaxis-Navier-Stokes system with porous medium diffusion

Συγγραφείς: Chao Liu, Bin Liu

Πηγή: Mathematical Models and Methods in Applied Sciences. 34:1825-1860

Θεματικοί όροι: self-consistent, Quasilinear parabolic equations, chemotaxis-Navier-Stokes system, porous medium diffusion, Cell movement (chemotaxis, etc.), weak solution, Initial-boundary value problems for second-order parabolic systems, 0101 mathematics, Weak solutions to PDEs, PDEs in connection with fluid mechanics, 01 natural sciences

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Σύνδεσμος πρόσβασης: https://zbmath.org/7938956
https://doi.org/10.1142/s0218202524500374

Stability analysis in a delayed rumor propagation model with spatio-temporal diffusion terms

Συγγραφείς: Mortaji, F., Abta, A., Laarabi, H., Rachik, M.

Πηγή: Rendiconti del Circolo Matematico di Palermo Series 2. 74

Θεματικοί όροι: rumor propagation, Reaction-diffusion equations, Stability theory of functional-differential equations, center manifold theory, local stability, Partial functional-differential equations, partial differential equations, Initial-boundary value problems for second-order parabolic systems, delayed differential equations, Invariant manifolds of functional-differential equations

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Σύνδεσμος πρόσβασης: https://zbmath.org/8037010
https://doi.org/10.1007/s12215-025-01229-1

Global existence of solutions to a quasilinear three-species spatial food chain model

Συγγραφείς: Yan, Dongze, Liu, Changchun

Πηγή: Zeitschrift für angewandte Mathematik und Physik. 76

Θεματικοί όροι: global existence, Classical solutions to PDEs, Reaction-diffusion equations, food chain, PDEs in connection with biology, chemistry and other natural sciences, Cell movement (chemotaxis, etc.), nonlinear diffusion, Initial-boundary value problems for second-order parabolic systems, prey-taxis

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Σύνδεσμος πρόσβασης: https://zbmath.org/8037361
https://doi.org/10.1007/s00033-025-02483-0

Global smooth solutions of the chemotaxis-SIS epidemic model with nonlinear incidence rate

Συγγραφείς: Yan, Meng

Πηγή: Zeitschrift für angewandte Mathematik und Physik. 76

Θεματικοί όροι: SIS model, global existence, Classical solutions to PDEs, Quasilinear parabolic equations, nonlinear incidence, Asymptotic behavior of solutions to PDEs, Cell movement (chemotaxis, etc.), Initial-boundary value problems for second-order parabolic systems, asymptotic behavior, chemotaxis

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Σύνδεσμος πρόσβασης: https://zbmath.org/8037358
https://doi.org/10.1007/s00033-025-02476-z

Boundedness of the solution to a triply haptotactic cross-diffusion system modeling oncolytic virotherapy

Συγγραφείς: Qi, Dayong, Zheng, Jiashan

Πηγή: Zeitschrift für angewandte Mathematik und Physik. 76

Θεματικοί όροι: global existence, Classical solutions to PDEs, Quasilinear parabolic equations, triply haptotactic, Asymptotic behavior of solutions to PDEs, Cell movement (chemotaxis, etc.), Initial-boundary value problems for second-order parabolic systems, boundedness, PDEs in connection with fluid mechanics, oncolytic virotherapy

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Σύνδεσμος πρόσβασης: https://zbmath.org/8028868
https://doi.org/10.1007/s00033-025-02472-3

On the Space-Time Analyticity of the Keller–Segel–Navier–Stokes System: On the space-time analyticity of the Keller-Segel-Navier-Stokes system

Συγγραφείς: Abdo, Elie, Hu, Zhongtian

Πηγή: Journal of Nonlinear Science. 35

Θεματικοί όροι: space-time analyticity, Quasilinear parabolic equations, Keller-Segel, Smoothness and regularity of solutions to PDEs, Navier-Stokes equations for incompressible viscous fluids, nonlocal, Navier-Stokes, Analyticity in context of PDEs, periodic strip, Mathematics - Analysis of PDEs, Cell movement (chemotaxis, etc.), nonlinear, Initial-boundary value problems for second-order parabolic systems, Navier-Stokes equations, chemotaxis

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Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2402.04564
https://zbmath.org/8030982
https://doi.org/10.1007/s00332-025-10158-3

On the Regularity Problem for Parabolic Operators and the Role of Half-Time Derivative: On the regularity problem for parabolic operators and the role of half-time derivative

Συγγραφείς: Martin Dindoš

Πηγή: J Geom Anal

Θεματικοί όροι: Mathematics - Analysis of PDEs, parabolic PDEs, boundary value problems, half-derivative, Smoothness and regularity of solutions to PDEs, Initial-boundary value problems for second-order parabolic equations, FOS: Mathematics, Initial-boundary value problems for second-order parabolic systems, Second-order parabolic systems, 35K10, 35K20, 35K40, 35K51, non-tangential maximal function, Article, Analysis of PDEs (math.AP)

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://pubmed.ncbi.nlm.nih.gov/40191766
http://arxiv.org/abs/2308.12936
https://zbmath.org/8029587
https://doi.org/10.1007/s12220-025-01991-9

Classification of radial blow-up at the first critical exponent for the Lin–Ni–Takagi problem in the ball: Classification of radial blow-up at the first critical exponent for the Lin-Ni-Takagi problem in the ball

Συγγραφείς: Denis Bonheure, Jean-Baptiste Casteras, Bruno Premoselli

Πηγή: Mathematische Annalen. 390:5553-5605

Θεματικοί όροι: 35B45, 35B40, 35J60, 35B32, 35B07, 35B44, 35B33, 92C17, Variational methods for second-order elliptic equations, Lin-Ni-Takagi problem, bubble, radial solution, 01 natural sciences, Mathématiques, Blow-up in context of PDEs, Mathematics - Analysis of PDEs, critical Sobolev exponent, 0103 physical sciences, FOS: Mathematics, Initial-boundary value problems for second-order parabolic systems, asymptotic behavior, 0101 mathematics, Quasilinear elliptic equations with \(p\)-Laplacian, Analysis of PDEs (math.AP)

Περιγραφή αρχείου: application/xml; 1 full-text file(s): application/pdf

Σύνδεσμος πρόσβασης: http://arxiv.org/abs/2211.08962
https://zbmath.org/7940267
https://doi.org/10.1007/s00208-024-02888-8

Boundedness and asymptotic stabilization in a two-dimensional chemotaxis-Navier–Stokes system with sub-logarithmic sensitivity: Boundedness and asymptotic stabilization in a two-dimensional chemotaxis-Navier-Stokes system with sub-logarithmic sensitivity

Συγγραφείς: Liu, Ji

Πηγή: Nonlinear Differential Equations and Applications NoDEA. 32

Θεματικοί όροι: singular sensitivity, Quasilinear parabolic equations, Asymptotic behavior of solutions to PDEs, Cell movement (chemotaxis, etc.), Navier-Stokes, Initial-boundary value problems for second-order parabolic systems, chemotaxis, boundedness, PDEs in connection with fluid mechanics, A priori estimates in context of PDEs, large time behavior

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8033563
https://doi.org/10.1007/s00030-025-01047-5

Global Dynamics of a Three-Species Lotka–Volterra Food Chain Model with Intraguild Predation and Taxis Mechanisms: Global dynamics of a three-species Lotka-Volterra food chain model with intraguild predation and taxis mechanisms

Συγγραφείς: Chu, Jiawei, Jin, Hai-Yang

Πηγή: Journal of Nonlinear Science. 35

Θεματικοί όροι: Blow-up in context of PDEs, Quasilinear parabolic equations, pattern formation, Asymptotic behavior of solutions to PDEs, Cell movement (chemotaxis, etc.), Initial-boundary value problems for second-order parabolic systems, boundedness, one space dimension, global stability, prey-taxis, alarm-taxis

Περιγραφή αρχείου: application/xml

Σύνδεσμος πρόσβασης: https://zbmath.org/8032058
https://doi.org/10.1007/s00332-025-10151-w