## Limit cycles in a cubic Kolmogorov system with harvest and two positive equilibrium points.(English)Zbl 1474.92136

Summary: A class of planar cubic Kolmogorov systems with harvest and two positive equilibrium points is investigated. With the help of computer algebra system MATHEMATICA, we prove that five limit cycles can be bifurcated simultaneously from the two critical points (1, 1) and (2, 2), respectively, in the first quadrant. Moreover, the necessary conditions of centers are obtained.

### MSC:

 92D40 Ecology 92-08 Computational methods for problems pertaining to biology 34C23 Bifurcation theory for ordinary differential equations 34C05 Topological structure of integral curves, singular points, limit cycles of ordinary differential equations

Mathematica
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### References:

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