Abstract
Unrefereed candidate research note. A positive four-state conservative quadratic model disproves a specified exponential-decay conjecture; the paper proves minimum compartment count, an arbitrary-multiplicity family, an exact phase boundary and a trajectory-dependent spectral criterion with aggregate logarithmic rate. Complete written proofs and finite exact replay are provided. No external human peer review, formal verification, empirical validation or historical-priority certification is claimed.
Keywords
- Mathematical and Theoretical Epidemiology and Ecology Models
- phase boundaries
- spectral criteria
- four-state model
- Open access