Mathematical theorems uncover stability dynamics in biological systems governed by R0, suggesting new applications.
In biological models exhibiting symmetric interactions within each compartmental group, threshold dynamics are typically governed by a key parameter known as the basic reproduction number R0. The stability of an equilibrium often hinges on whether R0 is greater than or less than one. However, general results for stability at the critical threshold—when R0 equals one—remain scarce. In this paper, we establish two theorems to analyze the stability of both trivial and boundary equilibria under this threshold condition. Our results provide explicit expressions for the threshold parameters in terms of partial derivatives of the nonlinear reaction function, making them readily applicable to a wide range of biological systems.
No takes yet. Share an insight, caveat, or question.
Mahbuba et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: