Canard solutions and travelling waves in the spruce budworm population model. (English) Zbl 1104.92058
Summary: The spruce budworm and forest population models are investigated both in the form of ODE’s and in the form of PDE’s. In the former, canard solutions were detected. In the latter, canard travelling waves were discovered. We investigate mainly the curvilinear waves and we suggest an approach which gives us the possibility to overcome the difficulties arising due to different diffusion coefficients.
MSC:
| 92D40 | Ecology |
| 35Q80 | Applications of PDE in areas other than physics (MSC2000) |
| 34C60 | Qualitative investigation and simulation of ordinary differential equation models |
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