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 77 articles , 2 standard articles )

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  1. Arancibia-Ibarra, Claudio; Bode, Michael; Flores, José; Pettet, Graeme; van Heijster, Peter: Turing patterns in a diffusive Holling-Tanner predator-prey model with an alternative food source for the predator (2021)
  2. Calcina, Sabrina S.; Gameiro, Marcio: Parameter estimation in systems exhibiting spatially complex solutions via persistent homology and machine learning (2021)
  3. Guin, Lakshmi Narayan; Pal, Sudipta; Chakravarty, Santabrata; Djilali, Salih: Pattern dynamics of a reaction-diffusion predator-prey system with both refuge and harvesting (2021)
  4. Xing, Chao; Pan, Jiaojiao; Luo, Hong: Stability and dynamic transition of a toxin-producing phytoplankton-zooplankton model with additional food (2021)
  5. Baek, Hunki: Bifurcation analysis of a spatiotemporal parasite-host system (2020)
  6. Barati, Ali; Atabaigi, Ali: Numerical simulations of two components ecological models with sinc collocation method (2020)
  7. Di, Yue; Huang, Ying; Yang, Ya-jing; Zhou, Xing-Tao; Luo, Wen-ting; Ye, Hai-yun; Qiao, Zhong-bao; Lu, Na; Qiao, Tong: Measuring the ocular morphological parameters of guinea pig eye with edge detection and curve fitting (2020)
  8. Guin, Lakshmi Narayan; Murmu, Reeta; Baek, Hunki; Kim, Kyoung-Hwan: Dynamical analysis of a Beddington-DeAngelis interacting species system with prey harvesting (2020)
  9. Han, Renji; Guin, Lakshmi Narayan; Dai, Binxiang: Cross-diffusion-driven pattern formation and selection in a modified Leslie-Gower predator-prey model with fear effect (2020)
  10. Jian, Huan-Yan; Huang, Ting-Zhu; Gu, Xian-Ming; Zhao, Yong-Liang: Fast compact implicit integration factor method with non-uniform meshes for the two-dimensional nonlinear Riesz space-fractional reaction-diffusion equation (2020)
  11. Rao, Feng; Luo, Junling; Zhang, Zhongliang; Kang, Yun: Spatiotemporal dynamics of a predation system with time delay and spatial diffusion (2020)
  12. Alharbi, Weam; Petrovskii, Sergei: Effect of complex landscape geometry on the invasive species spread: invasion with stepping stones (2019)
  13. Bennett, Jamie J. R.; Sherratt, Jonathan A.: How do dispersal rates affect the transition from periodic to irregular spatio-temporal oscillations in invasive predator-prey systems? (2019)
  14. Elgindy, Kareem T.: A high-order embedded domain method combining a predictor-corrector-Fourier-continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains (2019)
  15. Owolabi, Kolade M.: Behavioural study of symbiosis dynamics via the Caputo and Atangana-Baleanu fractional derivatives (2019)
  16. Chang, Lili; Jin, Zhen: Efficient numerical methods for spatially extended population and epidemic models with time delay (2018)
  17. Diele, Fasma; Marangi, Carmela: Positive symplectic integrators for predator-prey dynamics (2018)
  18. Guin, Lakshmi Narayan; Baek, Hunki: Comparative analysis between prey-dependent and ratio-dependent predator-prey systems relating to patterning phenomenon (2018)
  19. Li, Xiaoling; Hu, Guangping; Feng, Zhaosheng: Pattern dynamics in a spatial predator-prey model with nonmonotonic response functions (2018)
  20. Sambath, M.; Balachandran, K.; Guin, L. N.: Spatiotemporal patterns in a predator-prey model with cross-diffusion effect (2018)

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