R package deSolve: General solvers for initial value problems of ordinary differential equations (ODE), partial differential equations (PDE), differential algebraic equations (DAE), and delay differential equations (DDE) , Functions that solve initial value problems of a system of first-order ordinary differential equations (ODE), of partial differential equations (PDE), of differential algebraic equations (DAE), and of delay differential equations. The functions provide an interface to the FORTRAN functions lsoda, lsodar, lsode, lsodes of the ODEPACK collection, to the FORTRAN functions dvode and daspk and a C-implementation of solvers of the Runge-Kutta family with fixed or variable time steps. The package contains routines designed for solving ODEs resulting from 1-D, 2-D and 3-D partial differential equations (PDE) that have been converted to ODEs by numerical differencing. (Source:

References in zbMATH (referenced in 26 articles )

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  1. Britton, Tom; Ouédraogo, Désiré: SEIRS epidemics with disease fatalities in growing populations (2018)
  2. Feng, Wenfeng; Bailey, Richard M.: Unifying relationships between complexity and stability in mutualistic ecological communities (2018)
  3. Salehi, Younes; Schiesser, William E.: Numerical integration of space fractional partial differential equations. Vol. 2: Applications from classical integer PDEs (2018)
  4. Howard, James P. II: Computational methods for numerical analysis with R (2017)
  5. Lee, Junehyuk; Adler, Frederick R.; Kim, Peter S.: A mathematical model for the macrophage response to respiratory viral infection in normal and asthmatic conditions (2017)
  6. Lischke, Heike; Löffler, Thomas J.: Finding all multiple stable fixpoints of $n$-species Lotka-Volterra competition models (2017)
  7. Miller, Anna K.; Munger, Karl; Adler, Frederick R.: A mathematical model of cell cycle dysregulation due to human papillomavirus infection (2017)
  8. Robert Pearce and R. Setzer and Cory Strope and Nisha Sipes and John Wambaugh: httk: R Package for High-Throughput Toxicokinetics (2017)
  9. Beams, Alexander B.; Toth, Damon J. A.; Khader, Karim; Adler, Frederick R.: Harnessing intra-host strain competition to limit antibiotic resistance: mathematical model results (2016)
  10. Christopher Jackson: flexsurv: A Platform for Parametric Survival Modeling in R (2016)
  11. Giles Hooker and James Ramsay and Luo Xiao: CollocInfer: Collocation Inference in Differential Equation Models (2016)
  12. Philipp H Boersch-Supan, Leah R Johnson: deBInfer: Bayesian inference for dynamical models of biological systems in R (2016) arXiv
  13. Birch, Michael; Bolker, Benjamin M.: Evolutionary stability of minimal mutation rates in an evo-epidemiological model (2015)
  14. Christopher M. Moore, Christopher R. Stieha, Ben C. Nolting, Maria K. Cameron, Karen C. Abbott: QPot: An R Package for Stochastic Differential Equation Quasi-Potential Analysis (2015) arXiv
  15. Wentz, J. M.; Vainstein, V.; Oldson, D.; Gluzman-Poltorak, Z.; Basile, L. A.; Stricklin, D.: Mathematical model of radiation effects on thrombopoiesis in rhesus macaques and humans (2015)
  16. Bloomfield, Victor A.: Using R for numerical analysis in science and engineering (2014)
  17. Mazzia, Francesca; Cash, Jeff R.; Soetaert, Karline: Solving boundary value problems in the open source software R: package bvpSolve (2014)
  18. Nakaoka, Shinji; Inaba, Hisashi: Demographic modeling of transient amplifying cell population growth (2014)
  19. Nash, John C.: Nonlinear parameter optimization using R tools (2014)
  20. Rolf Turner; Pradeep Banerjee; Rayomand Shahlori: Optimal Asset Pricing (2014)

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