Stable numerical solutions preserving qualitative properties of nonlocal biological dynamic problems
DOI10.1155/2019/5787329zbMath1474.65286OpenAlexW2954283901MaRDI QIDQ2319376
M.-A. Piqueras, Rafael Company, Lucas Jodar
Publication date: 16 August 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2019/5787329
Integro-partial differential equations (45K05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) General biology and biomathematics (92B05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mathematical model of evolutionary branching
- Local vs. non-local interactions in population dynamics
- Spatial structures and generalized travelling waves for an integro-differential equation
- Multidimensional nonlinear diffusion arising in population genetics
- Nonlocal interaction driven pattern formation in a prey-predator model
- On spreading speeds and traveling waves for growth and migration models in a periodic habitat
- Analysis of meshless local radial point interpolation (MLRPI) on a nonlinear partial integro-differential equation arising in population dynamics
- Anomalous spreading speeds of cooperative recursion systems
- An efficient pseudo-spectral Legendre-Galerkin method for solving a nonlinear partial integro-differential equation arising in population dynamics
- On the nonlocal Fisher–KPP equation: steady states, spreading speed and global bounds
- On Error Bounds for Gaussian Cubature
- Pattern and Waves for a Model in Population Dynamics with Nonlocal Consumption of Resources
- The non-local Fisher–KPP equation: travelling waves and steady states
This page was built for publication: Stable numerical solutions preserving qualitative properties of nonlocal biological dynamic problems