PRED_PREY

Simple MATLAB codes for simulating Predator-Prey interactions in 1D and 2D: PRED_PREY_SIM is a collection of simple MATLAB routines using finite element / difference methods for simulating the dynamics of predator-prey interactions modelled by nonlinear reaction-diffusion systems. The collection of codes in 1D and 2D are called FD1D and FD2D respectively. PRED_PREY_ARB is a collection of simple MATLAB routines using the finite element method for simulating the dynamics of predator-prey interactions modelled by a nonlinear reaction-diffusion system. Unlike FD2D the systems are solved on domains of arbitrary shape using general boundary conditions. The collection of 2D codes are called FE2D.


References in zbMATH (referenced in 29 articles , 2 standard articles )

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  1. Kazem, Saeed; Chadwick, Edmund; Hatam, Ali; Dehghan, Mehdi: Using generating functions to convert an implicit $(3,3)$ finite difference method to an explicit form on diffusion equation with different boundary conditions (2016)
  2. Sherratt, Jonathan A.: Invasion generates periodic traveling waves (wavetrains) in predator-prey models with nonlocal dispersal (2016)
  3. Zhang, Rongpei; Zhu, Jiang; Loula, Abimael F.D.; Yu, Xijun: A new nonlinear Galerkin finite element method for the computation of reaction diffusion equations (2016)
  4. Chakraborty, Kunal; Manthena, Vamsi: Modelling and analysis of spatio-temporal dynamics of a marine ecosystem (2015)
  5. Garvie, Marcus R.; Burkardt, John; Morgan, Jeff: Simple finite element methods for approximating predator-prey dynamics in two dimensions using MATLAB (2015)
  6. Hu, Guangping; Li, Xiaoling; Wang, Yuepeng: Pattern formation and spatiotemporal chaos in a reaction-diffusion predator-prey system (2015)
  7. Wang, Xuechen; Wei, Junjie: Dynamics in a diffusive predator-prey system with strong Allee effect and Ivlev-type functional response (2015)
  8. Dagbovie, Ayawoa S.; Sherratt, Jonathan A.: Absolute stability and dynamical stabilisation in predator-prey systems (2014)
  9. Rao, Feng: Spatiotemporal complexity of a three-species ratio-dependent food chain model (2014)
  10. Wang, Weiming; Zhu, Ya-nuo; Cai, Yongli; Wang, Wenjuan: Dynamical complexity induced by allee effect in a predator-prey model (2014)
  11. Baek, Hunki; Jung, Dong Ick; Wang, Zhi-Wen: Pattern formation in a semi-ratio-dependent predator-prey system with diffusion (2013)
  12. Lian, Xinze; Yan, Shuling; Wang, Hailing: Pattern formation in predator-prey model with delay and cross diffusion (2013)
  13. Wang, Weiming; Cai, Yongli; Zhu, Yanuo; Guo, Zhengguang: Allee-effect-induced instability in a reaction-diffusion predator-prey model (2013)
  14. Wang, Xiaoqin; Cai, Yongli: Cross-diffusion-driven instability in a reaction-diffusion Harrison predator-prey model (2013)
  15. Wang, Xiaoqin; Cai, Yongli; Ma, Huihai: Dynamics of a diffusive predator-prey model with Allee effect on predator (2013)
  16. Yang, Bo: Pattern formation in a diffusive ratio-dependent Holling-Tanner predator-prey model with Smith growth (2013)
  17. Yue, Zongmin; Wang, Xiaoqin; Liu, Haifeng: Complex dynamics of a diffusive Holling-Tanner predator-prey model with the Allee effect (2013)
  18. Sherratt, Jonathan A.: Numerical continuation methods for studying periodic travelling wave (wavetrain) solutions of partial differential equations (2012)
  19. Wang, Weiming; Guo, Zhengguang; Upadhyay, R.K.; Lin, Yezhi: Pattern formation in a cross-diffusive Holling-Tanner model (2012)
  20. Banerjee, Malay: Spatial pattern formation in ratio-dependent model: higher-order stability analysis (2011)

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