On Synergies Between Chemical Reaction Networks, Mathematical Epidemiology and Population Dynamics
A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Multidisciplinary Applications".
Deadline for manuscript submissions: 30 June 2025 | Viewed by 35
Special Issue Editor
Interests: biological interaction networks; Routh–Hurwitz-Lienard–Chipart criteria; Hopf and Bogdanov–Takens bifurcations; scientific computing; Markov processes; large deviations; escape paths; Hamiltonian ODEs
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Deterministic and stochastic chemical reaction networks (CRNs), biological interaction networks (BINs), mathematical epidemiology and virology, and population dynamics have long shared common preoccupations, including multi-stationarity, stability, bifurcations and chaos. Furthermore, all these fields focus on essentially non-negative ODEs (at the deterministic level). The purpose of this Special Issue is to create bridges between these fields by informing researchers about the language and tools they employ, their major issues, and their status quo.
Prof. Dr. Florin Avram
Guest Editor
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Keywords
- CRN
- auto-catalytic CRN
- stoichiometric matrix
- Feinberg–Horn–Jackson graph
- petri/Volpert/DSR graph
- species graph
- reaction variables
- robust lyapunov function
- robust non-oscillation
- k-contraction
- fixed points
- Hopf and Bogdanov–Takens bifurcations
- Routh–Hurwitz-Liénard–Chipart criteria
- scientific computing
- real algebraic geometry
- resultants
- Groebner bases
- stochastic continuous-time Markov chain (CTMC) CRN
- escape paths
- Hamiltonian ODE
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