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Author

N. Gavish

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Open access Sep 2026

Optimal Vaccination for Contagious Diseases with Seasonal Transmission

We study optimal periodic time-dependent vaccination strategies for seasonal epidemics with waning immunity, aiming to minimize the basic reproduction number under a fixed annual vaccine supply. Our analysis, which does not pre-assume the structure of the vaccination profile, reveals that the optimal time-periodic vacc...

N. Gavish, Guy Katriel · 0 citations
Aug 2026

Hidden Oscillations: How Minimal Immunological Interactions Destabilize Two-Strain Epidemic Models

Abstract. The foundational two-strain susceptible infectious recovered (SIR) model with lifelong partial cross-immunity has been analytically proven to be universally stable under weak, nearly symmetric cross-immunity. However, numerical observations in closely related models exhibit complex, oscillatory behavior...

N. Gavish · 1 citation · ⚡1
Preprint Aug 2026

An Analytically Tractable Framework for Multi-Strain Epidemics: Resolving Algebraic Complexity to Map Oscillatory Dynamics

It is shown that the relative transmission advantage of secondary infections fundamentally governs the onset of robust limit-cycle oscillations, extending previous narrow-borderline results and revealing a rich macroscopic landscape where small-amplitude local oscillations coexist with large-amplitude, recurrent outbre...

N. Gavish · 0 citations

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