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Periodic oscillations in a spatially explicit model with delay effect for vegetation dynamics in freshwater marshes. (English) Zbl 1228.92080
Summary: Time delay is incorporated into a spatially explicit model for vegetation dynamics in freshwater marshes and the effect of the delay is investigated by using qualitative analysis and numerical simulations. If the specific rate of plant senescence is sufficiently small then spatial homogeneity will be induced eventually for any delay, while if it is large, then a switches may occurs as time delay increases and there is a periodic oscillations if it exceed a critical value. Thus, the delay time in the ecosystem may be one of the important factors to induce temporal fluctuation in nature.
34K60Qualitative investigation and simulation of models
34K11Oscillation theory of functional-differential equations
92C80Plant biology
65C20Models (numerical methods)