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Shoshana Elgart

Publications and source records attributed to Shoshana Elgart.

3 recordsLinked to original sources

Evaluating interventions for Plasmodium vivax forest malaria using a three-scale mathematical model

The rising proportion of Plasmodium vivax cases concentrated in forest-fringe areas across the Greater Mekong Subregion highlights the importance of pharmaceutical and mosquito control techniques specifically targeted towards forest-going populations. To mathematically assess best-possible antimalarial interventions in the context of hypnozoite reactivation and seasonal forest migration, we extend a previously developed three-scale integro-differential equations model of P. vivax transmission. In particular, we fit the model to data gathered over a four-year period in Vietnam to gain insight into local P. vivax dynamics and validate the model's ability to capture epidemiological trends. The calibrated model is then used to generate optimal schedules for mass-drug administration (MDA) in forest-goers and gauge the efficacy of vector control techniques (such as long-lasting insecticide nets and indoor residual spraying) in forest-adjacent areas. Our results highlight the dependence of optimal MDA timing on the demographics of the human population, the importance of interventions targeting the mosquito bite rate, and the need for efficacy in hypnozoite-targeting antimalarial drugs.

q-bio.QM

A spatial multiscale mathematical model of Plasmodium vivax transmission

The epidemiological behavior of Plasmodium vivax malaria occurs across spatial scales including within-host, population, and metapopulation levels. On the within-host scale, P. vivax sporozoites inoculated in a host may form latent hypnozoites, the activation of which drives secondary infections and accounts for a large proportion of P. vivax illness; on the metapopulation level, the coupled human-vector dynamics characteristic of the population level are further complicated by the migration of human populations across patches with different malaria forces of (re-)infection. To explore the interplay of all three scales in a single two-patch model of Plasmodium vivax dynamics, we construct and study a system of eight integro-differential equations with periodic forcing (arising from the single-frequency sinusoidal movement of a human sub-population). Under the numerically-informed ansatz that the limiting solutions to the system are closely bounded by sinusoidal ones for certain regions of parameter space, we derive a single nonlinear equation from which all approximate limiting solutions may be drawn, and devise necessary and sufficient conditions for the equation to have only a disease-free solution. Our results illustrate the impact of movement on P. vivax transmission and suggest a need to focus vector control efforts on forest mosquito populations. The three-scale model introduced here provides a more comprehensive framework for studying the clinical, behavioral, and geographical factors underlying P. vivax malaria endemicity.

q-bio.PE

A Perturbative Approach to the Analysis of Many-Compartment Models Characterized by the Presence of Waning Immunity

The waning of immunity after recovery or vaccination is a major factor accounting for the severity and prolonged duration of an array of epidemics, ranging from COVID-19 to diphtheria and pertussis. To study the effectiveness of different immunity level-based vaccination schemes in mitigating the impact of waning immunity, we construct epidemiological models that mimic the latter's effect. The total susceptible population is divided into an arbitrarily large number of discrete compartments with varying levels of disease immunity. We then vaccinate various compartments within this framework, comparing the value of $R_0$ and the equilibria locations for our systems to determine an optimal immunization scheme under natural constraints. Relying on perturbative analysis, we establish a number of results concerning the location, existence, and uniqueness of the system's endemic equilibria, as well as results on disease-free equilibria. In addition, we numerically simulate the dynamics associated with our model in the case of pertussis in Canada, fitting our model to available time-series data. Our analytical results are applicable to a wide range of systems composed of arbitrarily many ODEs.

math.DS