ANALYSIS OF A NEW MODEL FOR TUMOR-IMMUNE SYSTEM COMPETITION INCLUDING LONG-TIME SCALE EFFECTS
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Publication:4659521
DOI10.1142/S0218202504003738zbMath1057.92036MaRDI QIDQ4659521
Publication date: 21 March 2005
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50)
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Cites Work
- Unnamed Item
- Coinfection and superinfection in RNA virus populations: A selection--mutation model
- QUALITATIVE ANALYSIS OF A MEAN FIELD MODEL OF TUMOR-IMMUNE SYSTEM COMPETITION
- MATHEMATICAL TOPICS ON THE MODELLING COMPLEX MULTICELLULAR SYSTEMS AND TUMOR IMMUNE CELLS COMPETITION
- GENERALIZED KINETIC (BOLTZMANN) MODELS: MATHEMATICAL STRUCTURES AND APPLICATIONS