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Summer 2024
Seminar Nonlinear Dynamics (Internal seminar)
Prof. Dr. Bernold Fiedler,
PD Dr. Isabelle Schneider
Program
| Thursday, April 18th |
Planning meeting |
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| We are planning the seminar talks for this semester and will be giving the hybrid format a test run.
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| Thursday, May 2nd |
Danchen He (Freie Universität Berlin) |
Dynamics of an SEIR model with exogenous reinfections and quarantine control
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| Building upon the SEIR model proposed by Isaac Mwangi et al., our study analyzes the dynamic behavior of the SEIR model with exogenous reinfection influenced by quarantine control and transmission rates. In addition to the known backward bifurcation behavior, we prove that the model exhibits transcritical bifurcation when the basic reproduction number R0=1. Our results demonstrate the significant roles played by the disease transmission rate ß and the exogenous reinfection rate \tilde{p} (\tilde{p} is the exogenous reinfection rate influenced by quarantine) in altering the qualitative dynamics. We explore the global stability conditions of epidemic equilibrium under the joint influence of these two parameters. Furthermore, we investigate how our tuberculosis transmission model undergoes Hopf bifurcation under ß and \tilde{p}.
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Time and Place
Talks usually take place on Thursdays at 14:15, SR 140 in Arnimallee 7, 14195 Berlin
Guests are always welcome!
Archive
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Last change: Apr. 29, 2024
