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Espinoza, B.

Publications and source records attributed to Espinoza, B..

2 recordsLinked to original sources

Evolving Social Context Regulates Contagion Spread in Multiplex Networks

Contagion processes across biological, behavioral, and informational systems are shaped not only by transmission dynamics, but also by adaptive social responses emerging through human interactions. Understanding how social context regulates contagion spread is therefore critical for characterizing real-world spreading processes. Yet standard epidemic models often focus primarily on contagion states, treating social context as static or only weakly coupled to transmission. Here, we develop a multiplex-network framework that couples contagion dynamics with co-evolving social context. Unlike classical threshold contagion models, which apply thresholds directly to contagion prevalence or adoption states, our framework applies heterogeneous local and global thresholds to evolving context dynamics. The model further captures context-mediated transmission through targeted spread, in which contagion selectively propagates toward the locally most context-vulnerable susceptible individual. This contrasts with broadcast transmission, where spreading effort is distributed uniformly across susceptible neighbors. We show that coupling contagion with evolving context fundamentally reshapes spreading dynamics, producing delayed convergence and non-monotonic final prevalence. Targeted and broadcast transmission mechanisms exhibit distinct sensitivities to local and global social responses, highlighting tradeoffs in intervention strategies. We further show that co-evolving context can generate resilience by slowing propagation and delaying equilibrium, while pre-existing social resilience can substantially suppress contagion even under high transmission rates. These results suggest that contagion outcomes can vary substantially as a function of evolving social response and pre-existing social resilience. SignificanceContagion outcomes are often shaped before transmission begins. Existing social environments can make populations more vulnerable or more resistant to future spread, yet this latent resilience is difficult to capture when interventions are represented only as changes to contact or transmission rates. Our results show that social context can act as a regulatory mechanism that suppresses and delays contagion spread. In particular, prior pro-social alignment can create resilience before exposure occurs, helping explain why community prevention, peer support, and reintegration programs may alter contagion outcomes even when they do not directly target the transmission process.

Systems Biology↗

COUPLING OF ENVIRONMENTAL AND DIRECT TRANSMISSIONMECHANISMS: ANALYSIS OF A SIMPLE MODEL

AO_SCPLOWBSTRACTC_SCPLOWWe study an extension of an environmentally mediated epidemiological model that incorporates direct human-to-human transmission. While the original formulation accounted for environmental exposure, it did not include direct transmission between individuals. Allowing both transmission routes to interact leads to significant qualitative changes in the system dynamics. The analysis reveals multiple dynamical regimes governed by environmental and combined threshold quantities. The stability of the disease-free equilibrium is controlled by an environmental threshold, whereas a combined reproduction number determines the onset of multistability. For certain parameter ranges, endemic equilibria coexist with the disease-free equilibrium, giving rise to backward-type bifurcation behavior and sensitivity to initial conditions. Moreover, the direct transmission rate acts as an organizing parameter by inducing the emergence of an environmental-free equilibrium when exceeding its classical threshold. These results highlight how environmentally coupled transmission mechanisms can generate rich dynamics in low-dimensional models.

systems biology↗