References
- Lotka A. Elements of physical biology. Baltimore: Williams & Wilkins; 1925.
- Volterra V. Fluctuations in the abundance of a species considered mathematically. Nature. 1926;118(2972):558–600.
- Loladze I, Kuang Y, Elser JJ. Stoichiometry in producer-grazer systems: linking energy flow with element cycling. Bull Math Biol. 2000;62(6):1137–1162.
- Li X, Wang H, Kuang Y. Global analysis of a stoichiometric producer-grazer model with holling type functional responses. J Math Biol. 2011;63(5):901–932.
- Wang H, Kuang Y, Loladze I. Dynamics of a mechanistically derived stoichiometric producer-grazer model. J Biol Dyn. 2008;2(3):286–296.
- Xie T, Yang X, Li X, et al. Complete global and bifurcation analysis of a stoichiometric predator-prey model. J Dyn Differ Equ. 2018;30(2):447–472.
- Yang XS, Li X, Wang H, et al. Stability and bifurcation in a stoichiometric producer-grazer model with knife edge. SIAM J Appl Dyn Syst. 2016;15(4):2051–2077.
- Härting S, Marciniak-Czochra A, Takagi I. Stable patterns with jump discontinuity in systems with turing instability and hysteresis. Discrete Contin Dyn Syst. 2017;37(2):757–800.
- Takagi I, Zhang C. Existence and stability of patterns in a reaction-diffusion-ODE system with hysteresis in non-uniform media. Discrete Contin Dyn Syst. 2021;41(7):3109–3140.
- Takagi I, Zhang C. Pattern formation in a reaction-diffusion-ODE model with hysteresis in spatially heterogeneous environments. J Differ Equ. 2021;280:928–966.
- Marciniak-Czochra A, Nakayama M, Takagi I. Pattern formation in a diffusion-ODE model with hysteresis. Differ Integral Equ. 2015;28:655–694.
- Yi F, Wei J, Shi J. Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system. J Differ Equ. 2009;246(5):1944–1977.
- Crandall M, Rabinowitz P. Bifurcation from simple eigenvalues. J Funct Anal. 1971;8(2):321–340.
- Zhang C. Pattern formation with jump discontinuity in a macroalgae-herbivore model with strong Allee effect in macroalgae. J Math Anal Appl. 2021;504(1):125371.
- Li Y, Marciniak-Czochra A, Takagi I, et al. Bifurcation analysis of a diffusion-ODE model with turing instability and hysteresis. Hiroshima Math J. 2017;47(2):217–247.