Discrete vs. continuous dynamics in biology: When do they align and when do they diverge?
Fuente:
arXiv
Saved in:
| Main Authors: | Jiao, Shuyun, Waxman, David |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
On study of transition fronts of Fisher-KPP type reaction-diffusion PDEs by non-linear transformations into exactly solvable class
by: Mishra, Preet, et al.
Published: (2024)
by: Mishra, Preet, et al.
Published: (2024)
Toda-like Hamiltonian as a probe for quantized prey-predator dynamics
by: Bernardini, Alex E., et al.
Published: (2026)
by: Bernardini, Alex E., et al.
Published: (2026)
The exact travelling wave solutions of a KPP equation
by: Kogan, Eugene
Published: (2024)
by: Kogan, Eugene
Published: (2024)
(3+1)-dimensional modified Kadomtsev-Petviashvili equation and its \bar{\partial}-formalism
by: Li, Yue, et al.
Published: (2025)
by: Li, Yue, et al.
Published: (2025)
Fairing of Discrete Planar Curves by Integrable Discrete Analogue of Euler's Elasticae
by: Zurita, Sebastian Elias Graiff, et al.
Published: (2021)
by: Zurita, Sebastian Elias Graiff, et al.
Published: (2021)
Discretization of the Mikhailov model
by: Zhao, Song-lin, et al.
Published: (2026)
by: Zhao, Song-lin, et al.
Published: (2026)
Discrete integrable equations with three independent variables
by: Habibullin, Ismagil T., et al.
Published: (2026)
by: Habibullin, Ismagil T., et al.
Published: (2026)
Stokes' phenomenon in continuous limits of discrete Painlevé I
by: Lustri, Christopher J., et al.
Published: (2025)
by: Lustri, Christopher J., et al.
Published: (2025)
Discrete nonlinear Schrödinger type equations: Solutions and continuum limits
by: Zhao, Song-lin, et al.
Published: (2024)
by: Zhao, Song-lin, et al.
Published: (2024)
Inverse scattering transform for continuous and discrete space-time shifted integrable equations
by: Ablowitz, Mark J., et al.
Published: (2023)
by: Ablowitz, Mark J., et al.
Published: (2023)
Large-space and Large-time Asymptotics for the Focusing Nonlinear Schrödinger Soliton Gas
by: Yan, Dedi, et al.
Published: (2026)
by: Yan, Dedi, et al.
Published: (2026)
Semiclassical dynamics and coherent soliton ensembles in the derivative nonlinear Schrödinger equation with periodic initial conditions
by: Wolski, Zachery, et al.
Published: (2025)
by: Wolski, Zachery, et al.
Published: (2025)
Liouville integrable Lotka-Volterra systems
by: van der Kamp, Peter H., et al.
Published: (2026)
by: van der Kamp, Peter H., et al.
Published: (2026)
Characteristic integrals and general solution of the Ferapontov-Shabat-Yamilov lattice
by: Demskoi, Dmitry K.
Published: (2024)
by: Demskoi, Dmitry K.
Published: (2024)
On integrable reductions of two-dimensional Toda-type lattices
by: Habibullin, I. T., et al.
Published: (2024)
by: Habibullin, I. T., et al.
Published: (2024)
On an equation arising by reduction of the Drinfeld-Sokolov hierarchy
by: Conte, R.
Published: (2024)
by: Conte, R.
Published: (2024)
Localized stem structures in quasi-resonant two-soliton solutions for the asymmetric Nizhnik-Novikov-Veselov system
by: Yuan, Feng, et al.
Published: (2024)
by: Yuan, Feng, et al.
Published: (2024)
Fokas-Lenells Derivative nonlinear Schrödinger equation its associated soliton surfaces and Gaussian curvature
by: Talukdar, Sagardeep, et al.
Published: (2024)
by: Talukdar, Sagardeep, et al.
Published: (2024)
Direct linearization of the SU(2) anti-self-dual Yang-Mills equation in various spaces
by: Li, Shangshuai, et al.
Published: (2024)
by: Li, Shangshuai, et al.
Published: (2024)
Affine Weyl groups and non-Abelian discrete systems: an application to the $d$-Painlevé equations
by: Bobrova, Irina
Published: (2024)
by: Bobrova, Irina
Published: (2024)
Inverse scattering transform for the coupled Lakshmanan-Porsezian-Daniel equation with nonzero boundary conditions
by: Han, Peng-Fei, et al.
Published: (2024)
by: Han, Peng-Fei, et al.
Published: (2024)
Contact germs and partial differential equations
by: Kaptsov, O. V.
Published: (2024)
by: Kaptsov, O. V.
Published: (2024)
Simple recursions displaying interesting evolutions
by: Calogero, Francesco
Published: (2024)
by: Calogero, Francesco
Published: (2024)
The extended versions of the noncommutative KP and mKP equations and Miura transformation
by: Kashif, Muhammad, et al.
Published: (2024)
by: Kashif, Muhammad, et al.
Published: (2024)
Higher symmetries of the lattices in 3D
by: Habibullin, I. T., et al.
Published: (2024)
by: Habibullin, I. T., et al.
Published: (2024)
Integrability conditions for Boussinesq type systems
by: Heredero, Rafael Hernandez, et al.
Published: (2024)
by: Heredero, Rafael Hernandez, et al.
Published: (2024)
Bilinear Expansions of KP Multipair Correlators in BKP Correlators
by: Orlov, Aleksandr Yu.
Published: (2024)
by: Orlov, Aleksandr Yu.
Published: (2024)
Rogue curves in the Davey-Stewartson I equation
by: Yang, Bo, et al.
Published: (2024)
by: Yang, Bo, et al.
Published: (2024)
Solutions of local and nonlocal discrete complex modified Korteweg-de Vries equations and continuum limits
by: Hu, Ya-Nan, et al.
Published: (2024)
by: Hu, Ya-Nan, et al.
Published: (2024)
Construction of exact solutions of nonlinear PDE via dressing chain in 3D
by: Habibullin, I. T., et al.
Published: (2024)
by: Habibullin, I. T., et al.
Published: (2024)
Defocusing Hirota equation with fully asymmetric non-zero boundary conditions: the inverse scattering transform
by: Ye, Rusuo, et al.
Published: (2024)
by: Ye, Rusuo, et al.
Published: (2024)
The Volterra lattice, Abel's equation of the first kind, and the SIR epidemic models
by: Nobe, Atsushi
Published: (2024)
by: Nobe, Atsushi
Published: (2024)
A simple approach to identify systems of nonlinear recursions featuring solutions whose evolution is explicitly ascertainable and which may be asymptotically isochronous as functions of the independent variable (a ticking time)
by: Calogero, Francesco
Published: (2024)
by: Calogero, Francesco
Published: (2024)
On the discrete Kuznetsov-Ma solutions for the defocusing Ablowitz-Ladik equation with large background amplitude
by: Boadi, Evans C., et al.
Published: (2024)
by: Boadi, Evans C., et al.
Published: (2024)
Reduction of the Laplace sequence and sine-Gordon type equations
by: Faizulina, K I, et al.
Published: (2024)
by: Faizulina, K I, et al.
Published: (2024)
Bilinearization-reduction approach to the classical and nonlocal semi-discrete modified Korteweg-de Vries equations with nonzero backgrounds
by: Deng, Xiao, et al.
Published: (2024)
by: Deng, Xiao, et al.
Published: (2024)
The integrable hierarchy and the nonlinear Riemann-Hilbert problem associated with one typical Einstein-Weyl physico-geometric dispersionless system
by: Yi, Ge, et al.
Published: (2024)
by: Yi, Ge, et al.
Published: (2024)
On quadrirational pentagon maps
by: Evripidou, Charalampos, et al.
Published: (2024)
by: Evripidou, Charalampos, et al.
Published: (2024)
Non-Abelian elastic collisions, associated difference systems of equations and discrete analytic functions
by: Kassotakis, Pavlos, et al.
Published: (2024)
by: Kassotakis, Pavlos, et al.
Published: (2024)
Inverse scattering transform for the defocusing-defocusing coupled Hirota equations with non-parallel boundary conditions at infinity
by: Han, Peng-Fei, et al.
Published: (2024)
by: Han, Peng-Fei, et al.
Published: (2024)
Similar Items
-
On study of transition fronts of Fisher-KPP type reaction-diffusion PDEs by non-linear transformations into exactly solvable class
by: Mishra, Preet, et al.
Published: (2024) -
Toda-like Hamiltonian as a probe for quantized prey-predator dynamics
by: Bernardini, Alex E., et al.
Published: (2026) -
The exact travelling wave solutions of a KPP equation
by: Kogan, Eugene
Published: (2024) -
(3+1)-dimensional modified Kadomtsev-Petviashvili equation and its \bar{\partial}-formalism
by: Li, Yue, et al.
Published: (2025) -
Fairing of Discrete Planar Curves by Integrable Discrete Analogue of Euler's Elasticae
by: Zurita, Sebastian Elias Graiff, et al.
Published: (2021)