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Zebras were observed not only in the solar radio emission but also in radioemissions of Jupiter and Crab Nebula pulsar. In their models, growth rates ofthe electrostatic waves play an important role. Considering the plasma composedfrom the thermal background plasma and hot and rare component with theDory-Guest-Harris distribution, we compute the growth rates $\gamma$ anddispersion branches of the electrostatic waves in the $\omega - k_\perp$domain. We show complexity of the electrostatic wave branches in theupper-hybrid band. In order to compare the results, which we obtained using thekinetic theory and Particle-in-cell (PIC) simulations, we define and computethe integrated growth rate $\Gamma$, where the "characteristic width" ofdispersion branches was considered. We found a very good agreement between theintegrated growth rates and those from PIC simulations. For maximal and minimal$\Gamma$ we showed locations of dispersion branches in the $\omega - k_\perp$domain. We found that $\Gamma$ has a maximum when the dispersion branches notonly cross the region with high growth rates $\gamma$, but when the dispersionbranches in this region are sufficiently long and wide. We also mentioned theeffects of changes in the background plasma and hot component temperatures.

Growth rates of the electrostatic waves in radio zebra models