Recently, it has been proved in Galakhov et al. (2016) that if either α>m+γ−1 or b017c7a3bb76a7793198fd2f2c2259ec" title="Click to view the MathML source">α=m+γ−1 and ba64762">, for any given e94c26471"> this system possesses a global and bounded classical solution. The present work further shows that the same conclusion still holds for the critical case b017c7a3bb76a7793198fd2f2c2259ec" title="Click to view the MathML source">α=m+γ−1 and a6c1c04e7e9db5a">.
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