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Wave front solutions of a diffusive delay model for populations of Daphnia magna. (English) Zbl 0998.92029

Summary: We consider a diffusional food-limited population model incorporating a discrete time-delay. For the case when the delay is small, we show that monotone travelling front solutions exist connecting the two uniform steady states of the model. The effect of a larger delay is studied numerically, suggesting that in this case travelling fronts still exist but lose their monotonicity.

MSC:

92D25 Population dynamics (general)
35Q80 Applications of PDE in areas other than physics (MSC2000)
34K60 Qualitative investigation and simulation of models involving functional-differential equations
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