A cubic stochastic population model with dual fear effects under the Allee effect produces an analytical steady-state probability distribution that exhibits noise-induced transitions and non-monotonic fear-controlled changes between low- and high-density regimes.
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Mathematical Biology I: An Introduction
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A geometric decomposition of entropy production rate in reaction-diffusion systems isolates excess dissipation driving patterns and yields speed limits, uncertainty relations, and an optimal-transport extension for efficient pattern formation.
k-contact geometry supplies explicit Hamiltonian descriptions for multiple dissipative PDEs including damped Klein-Gordon, Allen-Cahn, Fisher-KPP, and complex Ginzburg-Landau equations.
Isabelle/HOL proofs establish conservation, monotonicity, compartment bounds, and threshold conditions for the SIR ODE by bridging AFP local flows to global forward solutions with reusable scalar lemmas.
Rule 22 supplies closed-form support-set cardinalities and a parabolic PDE limit that serve as a symmetric benchmark to quantify Rule 30's asymmetry via an empirical power-law deviation.
Trajectory data resolves structural non-identifiability in lattice random walk diffusion models that count data alone cannot, with analysis of experimental design impacts on practical identifiability.
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