XPPAUT is software for the analysis and simulation of dynamic systems. It includes AUTO, a bifurcation package, as well as dozens of other useful routines. Differential equations, maps, stochastic systems, delay equations, integral equations, and other systems are easily solved and plotted. Animation scripts, Poincare maps, and statistical measures are among its many features. (Source: http://freecode.com/)

References in zbMATH (referenced in 385 articles , 1 standard article )

Showing results 1 to 20 of 385.
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  1. Ahn, Sungwoo; Rubchinsky, Leonid L.: Temporal patterns of dispersal-induced synchronization in population dynamics (2020)
  2. Aksim, Dan; Pavlov, Dmitry: On the extension of Adams-Bashforth-Moulton methods for numerical integration of delay differential equations and application to the Moon’s orbit (2020)
  3. Andò, Alessia; Breda, Dimitri: Collocation techniques for structured populations modeled by delay equations (2020)
  4. Antwi-Fordjour, Kwadwo; Parshad, Rana D.; Beauregard, Matthew A.: Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference (2020)
  5. Dixit, Shiva; Shrimali, Manish Dev: Static and dynamic attractive-repulsive interactions in two coupled nonlinear oscillators (2020)
  6. Fatoyinbo, H. O.; Brown, R. G.; Simpson, D. J. W.; van Brunt, B.: Numerical bifurcation analysis of pacemaker dynamics in a model of smooth muscle cells (2020)
  7. Hao, Wenrui; Xue, Chuan: Spatial pattern formation in reaction-diffusion models: a computational approach (2020)
  8. Razvan, Mohammad Reza; Yasaman, Somaye: Emergence of bursting in two coupled neurons of different types of excitability (2020)
  9. Shen, Jianhe; Hsu, Cheng-Hsiung; Yang, Ting-Hui: Fast-slow dynamics for intraguild predation models with evolutionary effects (2020)
  10. Wu, Fuqiang; Gu, Huaguang: Bifurcations of negative responses to positive feedback current mediated by memristor in a neuron model with bursting patterns (2020)
  11. Yu, Min; Huang, Gang; Dong, Yueping; Takeuchi, Yasuhiro: Complicated dynamics of tumor-immune system interaction model with distributed time delay (2020)
  12. Ang, Tau Keong; Safuan, Hamizah M.; Sidhu, Harvinder S.; Jovanoski, Zlatko; Towers, Isaac N.: Impact of harvesting on a bioeconomic predator-prey fishery model subject to environmental toxicant (2019)
  13. De Caluwé, Joëlle; Tosenberger, Alen; Gonze, Didier; Dupont, Geneviève: Signalling-modulated gene regulatory networks in early mammalian development (2019)
  14. Desroches, Mathieu; Faugeras, Olivier; Krupa, Martin; Mantegazza, Massimo: Modeling cortical spreading depression induced by the hyperactivity of interneurons (2019)
  15. Guan, Linan; Jia, Bing; Gu, Huaguang: A novel threshold across which the negative stimulation evokes action potential near a saddle-node bifurcation in a neuronal model with (I_\texth) current (2019)
  16. Hsu, Ting-Hao: Number and stability of relaxation oscillations for predator-prey systems with small death rates (2019)
  17. Hurtado, Paul J.; Kirosingh, Adam S.: Generalizations of the `linear chain trick’: incorporating more flexible dwell time distributions into mean field ODE models (2019)
  18. Jenner, Adrianne L.; Kim, Peter S.; Frascoli, Federico: Oncolytic virotherapy for tumours following a Gompertz growth law (2019)
  19. Kaouri, K.; Maini, P. K.; Skourides, P. A.; Christodoulou, N.; Chapman, S. J.: A simple mechanochemical model for calcium signalling in embryonic epithelial cells (2019)
  20. Köhnke, M. C.: Invasion dynamics in an intraguild predation system with predator-induced defense (2019)

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