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Global classical and weak solutions of the prion proliferation model in the presence of chaperone in a banach space

  • * Corresponding author: Kapil Kumar Choudhary

    * Corresponding author: Kapil Kumar Choudhary 
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  • The present work is based on the coupling of prion proliferation system together with chaperone which consists of two ODEs and a partial integro-differential equation. The existence and uniqueness of a positive global classical solution of the system is proved for the bounded degradation rates by the idea of evolution system theory in the state space $ \mathbb{R} \times \mathbb{R} \times L_{1}(Z,zdz). $ Moreover, the global weak solutions for unbounded degradation rates are discussed by weak compactness technique.

    Mathematics Subject Classification: 35R09, 47D06.


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