Hysteresis in biological models

Journal of Physics: Conference Series

Volumn 55, Issue 1, 2006, Pages 130-134

  Kopfova J ^a  

^a SILESIAN UNIVERSITY IN OPAVA   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947708354     PISSN: 17426588     EISSN: 17426596     Source Type: Conference Proceeding    
DOI: 10.1088/1742-6596/55/1/012     Document Type: Conference Paper

References (13)

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2. Aiki T and Minchev E 2005 A prey-predator model with hysteresis effect SIAM J. Math. Anal. 36 2020-32
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4. Colli P, Kenmochi N and Kubo M 2001 A phase-field model with temperature dependent constraint J. Math. Anal. Appl. 256 668-85
5. Hoppensteadt F C and Jäger W 1980 Pattern formation by bacteria Lecture Notes Biomathematics 38 68-81
6. Hoppensteadt F C, W Jäger and Poppe C 1984 A hysteresis model for bacterial growth patterns Modelling Patterns in Space Time, Lecture Notes Biomath. 55 123-34 (Springer)
7. Jäger W 1981 A diffusion-reaction system modelling spatial patterns Proc. Equadi. 5 151-8 (Bratislava)
8. Krasnosel'skii M A and Pokrovskii A V 1989 Systems with Hysteresis (Springer)
9. Krejí P 1996 Hysteresis, Convexity and Dissipation in Hyperbolic Equations Gakuto, Int. Ser. Math. Sci. Appl. 8 (Gakkötosho)
10. Minchev E 2004 A diffusion-convection prey-predator model with hysteresis Math. J. Toyama Univ. 27 51-69
11. Visintin A 1986 Evolution problems with hysteresis in the source term SIAM J. Math. Anal 17 1113-38
12. Visintin 1994 Differential Models of Hysteresis (Springer)
13. Wimpeny J W T, Jaffe S and Coombs J P Periodic growth phenomena in spatially organized microbial systems Modelling Patterns in Space Time, Lecture Notes Biomath. 55 388-403 (Springer)