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.
2002.Mathematical Biology: I
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k-contact geometry supplies explicit Hamiltonian descriptions for multiple dissipative PDEs including damped Klein-Gordon, Allen-Cahn, Fisher-KPP, and complex Ginzburg-Landau equations.
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Dual Fear Mechanisms Shaping Stochastic Population Dynamics under the Allee Effect
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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A Guide to Applications of $k$-Contact Geometry in Dissipative Field Equations
k-contact geometry supplies explicit Hamiltonian descriptions for multiple dissipative PDEs including damped Klein-Gordon, Allen-Cahn, Fisher-KPP, and complex Ginzburg-Landau equations.
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Certified Qualitative Analysis of the SIR ODE and Reusable Scalar Lemmas in Isabelle/HOL
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.
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When do trajectories matter? Identifiability analysis for stochastic transport phenomena
Trajectory data resolves structural non-identifiability in parameter estimation for stochastic diffusion models that arises with count data alone.
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Symmetric Nonlinear Cellular Automata as Algebraic References for Rule~30
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.
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Capture Timing-Attention of Events in Clinical Time Series
LITT aligns individual clinical event sequences on a relative timeline to enable timing-aware attention and better prediction of personalized health trajectories.