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- W3202060778 abstract "In this paper, we consider a multi-layer tumor model with a periodic provision of external nutrients. The domain occupied by tumor has a different shape (flat shape) than spherical shape which has been studied widely. The important parameters are periodic external nutrients $Phi(t)$ and threshold concentration for proliferation $widetilde{sigma}$. In this paper, we give a complete classification about $Phi(t)$ and $widetilde{sigma}$ according to global stability of zero equilibrium solution or global stability of the positive periodic solution. Precisely, if $frac{1}{T} int_{0}^{T} Phi(t)d tleqslantwidetilde{sigma}$, then the zero equilibrium solution is globally stable while if $frac{1}{T} int_{0}^{T} Phi(t)d t>widetilde{sigma}$, then there exists a unique positive T-periodic solution and it is globally stable." @default.
- W3202060778 created "2021-10-11" @default.
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- W3202060778 date "2021-09-29" @default.
- W3202060778 modified "2023-10-17" @default.
- W3202060778 title "The existence of periodic solution and asymptotic behavior of solutions for a multi-layer tumor model with a periodic provision of external nutrients" @default.
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- W3202060778 doi "https://doi.org/10.48550/arxiv.2109.14291" @default.
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