IMSP schemes for spatially explicit models of cyclic populations and metapopulation dynamics

DOI10.1016/j.matcom.2014.01.006OpenAlexW3021041405MaRDI QIDQ5970908

Carmela Marangi, Stefania Ragni, Fasma Diele

Publication date: 18 February 2021

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2014.01.006

zbMATH Keywords

Runge-Kutta schemespredator-prey dynamicsPoisson integrators

Mathematics Subject Classification ID

Genetics and population dynamics (92Dxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)

Related Items (10)

A constructive method for parabolic equations with opposite orientations arising in optimal control ⋮ Finite element approximation of a spatially structured metapopulation PDE model ⋮ Numerical analysis of a first-order in time implicit-symplectic scheme for predator-prey systems ⋮ Positive symplectic integrators for predator-prey dynamics ⋮ Optimal resource allocation for spatiotemporal control of invasive species ⋮ Stability and errors estimates of a second-order IMSP scheme ⋮ Devising efficient numerical methods for oscillating patterns in reaction-diffusion systems ⋮ \textit{GeCo}: geometric conservative nonstandard schemes for biochemical systems ⋮ On the Z-type control of backward bifurcations in epidemic models ⋮ Simple finite element methods for approximating predator-prey dynamics in two dimensions using \texttt{MATLAB}

Uses Software

• PRED_PREY
• DistMesh

Cites Work

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• Spatiotemporal Complexity of Plankton and Fish Dynamics
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• A Simple Mesh Generator in MATLAB

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