[1]  Li H L, Wang M X. Blow-up properties for parabolic systems with localized nonlinear sources. Appl Math Lett, 2004, 17: 771--778

[2]  Zhang J. Boundedness and blow-up behavior for reaction-diffusion systems in a bounded domain. Nonlinear Anal TMA, 1999, 35: 833--844

[3]  Wang M X, Chen Y L. Qualitative analysis of a reaction-diffusion sytem. Appl Math Lett, 2005, 18(2): 199--203

[4]  Escobedo M, Levine H A. Critical blowup and global existence numbers for a weakly coupled system of reaction-diffusion equations.
Arch Rational Mech Anal, 1995, 129: 47--100

[5]  Rossi J D, Wolanski N. Blow-up vs. global existence for a semilinear reaction-diffusion system in a bounded domain. Commun PDE, 1995, 20(11--12): 1991--2004

[6]  Antontsev S N, Shmarev S I. Parabolic equations with anisotropic nonstandard growth conditions. Internat Ser Numer Math, 2007, 154: 33--44

[7]  Diening L, Harjulehto P, H\"{a}st\"{o} P, R\^{u}\v{z}i\v{c}ka M. Lebesgue and Sobolev Spaces with Variable Exponents. Lecture Notes in Mathematics. Heidelberg: Springer-Verlag,  2011, 2017

[8]  Guo B, Gao W J. Existence and asymptotic behavior of solutions for nonlinear parabolic equations with variable exponent of nonlinearity. Acta Math Sci, 2012, 32B(3): 1053--1062

[9]  Pinasco J P. Blow-up for parabolic and hyperbolic problems with variable exponents. Nonlinear Anal, 2009, 71: 1049--1058