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 68 articles , 1 standard article )

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  1. Alderliesten, Jesse B.; Zwart, Mark P.; de Visser, J. Arjan G. M.; Stegeman, Arjan; Fischer, Egil A. J.: Second compartment widens plasmid invasion conditions: two-compartment pair-formation model of conjugation in the gut (2022)
  2. Baumgartner, Matheus Tenório; Faria, Lucas Del Bianco: The sensitivity of complex dynamic food webs to the loss of top omnivores (2022)
  3. Kerin, John; Engler, Hans: On the Lorenz ’96 model and some generalizations (2022)
  4. Moore, Sharon; Radunskaya, Ami; Zollinger, Elizabeth; Grant, Kathleen A.; Gonzales, Steven; Walter, Nicole A. R.; Baker, Erich J.: Pairing food and drink: a physiological model of blood ethanol levels for a variety of drinking behaviors (2022)
  5. Parisey, Nicolas; Leclerc, Melen; Adamczyk-Chauvat, Katarzyna: Optimal spatial monitoring of populations described by reaction-diffusion models (2022)
  6. Park, Junhyung; Chaffee, Adam W.; Harrigan, Ryan J.; Schoenberg, Frederic Paik: A non-parametric Hawkes model of the spread of Ebola in West Africa (2022)
  7. Shaw, Benjamin D.: Influence of the gas-phase Lewis number and thermocapillary stress on motion of a slowly evaporating droplet in Stokes flow (2022)
  8. Wang, Shijia; Ge, Shufei; Doig, Renny; Wang, Liangliang: Adaptive semiparametric Bayesian differential equations via sequential Monte Carlo (2022)
  9. Arnald Puy, Samuele Lo Piano, Andrea Saltelli, Simon A. Levin: sensobol: an R package to compute variance-based sensitivity indices (2021) arXiv
  10. Bolker, Benjamin M.; Grasselli, Matheus R.; Holmes, Emma: Short communication: Sensitivity analysis of an integrated climate-economic model (2021)
  11. da Silva, Adilson: Modeling COVID-19 in Cape Verde Islands -- an application of SIR model (2021)
  12. Hurtado, Paul J.; Richards, Cameron: Building mean field ODE models using the generalized linear chain trick & Markov chain theory (2021)
  13. Simoy, Mario Ignacio; Simoy, María Verónica; Canziani, Graciela Ana: Herd dynamics age and sex structured model considering management practices and animal movements among districts (2021)
  14. Tian, Ting; Tan, Jianbin; Luo, Wenxiang; Jiang, Yukang; Chen, Minqiong; Yang, Songpan; Wen, Canhong; Pan, Wenliang; Wang, Xueqin: The effects of stringent and mild interventions for coronavirus pandemic (2021)
  15. Turpin, Baptiste; Bijman, Eline Y.; Kaltenbach, Hans-Michael; Stelling, Jörg: Population design for synthetic gene circuits (2021)
  16. Beeton, Nicholas J.; Hosack, Geoffrey R.; Wilkins, Andrew; Forbes, Lawrence K.; Ickowicz, Adrien; Hayes, Keith R.: Modelling competition between hybridising subspecies (2020)
  17. Chavez, Gordon V.: Dynamic tail inference with log-Laplace volatility (2020)
  18. Fernando S. Marques, José H. H. Grisi-Filho, Jean C. R. Silva, Erivânia C. Almeida, José L. Silva Júnior: hybridModels: An R Package for the Stochastic Simulation of Disease Spreading in Dynamic Networks (2020) not zbMATH
  19. Garcia, Victor; Bonhoeffer, Sebastian; Fu, Feng: Cancer-induced immunosuppression can enable effectiveness of immunotherapy through bistability generation: a mathematical and computational examination (2020)
  20. Muhammad, Nasim; Eberl, Hermann J.: Two routes of transmission for \textitNosemainfections in a honeybee population model with polyethism and time-periodic parameters can lead to drastically different qualitative model behavior (2020)

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