Qualitative study of systems of differential equations for the flight of gregarious locusts

Locusts cause great damage to vegetation in many areas of the earth. A mathematical model of propagation of non-linear waves in space in various excitable media is constructed, since they describe the flight of gregarious locusts, the corresponding system of differential equations is qualitatively investigated, and a solution is found that corresponds to the flight regime of gregarious locusts. An analytical solution is obtained, and numerical studies are carried out. Simple approximate analytical expressions for calculating the propagation velocity of the locust population wave and its characteristic length are obtained.

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