Abstract
We use the methods of [24, 15] to provide an extension of results presented in [7, 16, 24] to derive existence of positive solutions to a general system of periodic parabolic equations which arise in the study of population dynamics. We will consider the following system with mixed boundary conditions. $$ \begin{align} u_t(x,t)-d_1(x,t)\Delta u(x,t)&= u(x,t)M(x,t,u,v) \\ v_t(x,t)-d_2(x,t)\Delta v(x,t)&= v(x,t)N(x,t,u,v). \end{align} $$
Citation
Afshin Ghoreishi. Roger Logan. "Positive solutions to a system of periodic parabolic partial differential equations." Differential Integral Equations 9 (3) 607 - 618, 1996. https://doi.org/10.57262/die/1367969975
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