In this paper,we study general recovery functions and treatment in the dynamics of an SIS model for sexually transmitted infections with nonzero partnership length.It is shown how partnership dynamics influences the p...In this paper,we study general recovery functions and treatment in the dynamics of an SIS model for sexually transmitted infections with nonzero partnership length.It is shown how partnership dynamics influences the predicted prevalence at the steady state and the basic reproduction number.Sobol's indices are used to evaluate the contribution of model parameters to the overall variance of R 0.The recovery functions studied here take into account that society's capacity to provide treatment is limited when the number of infected individuals is large.Bifurcation analysis is used to establish a relationship between an alert level of prevalence and the minimum recovery time that guarantees the eradication of the disease.We also show that a backward bifurcation can occur when there are delays in the treatment of infected individuals.展开更多
In this paper, we propose a model describing the interaction between two species： a plant population that gets pollinated by an insect population. We assume the plant population is divided into two groups： the first...In this paper, we propose a model describing the interaction between two species： a plant population that gets pollinated by an insect population. We assume the plant population is divided into two groups： the first group in mutualistic relationship with the insect and the second group attracting the insects while deceiving them and not delivering any reward. In addition, we assume that the insect population reduces the number of visits to the plants after several unsuccessful visits. We are interested in the conditions for the coexistence of both species, especially in the appearance of damped or sustained oscillations. We focus the analysis on the parameters that measure the balance among deceit, the benefit that the insect gets from the plant, and the learning by the pollinators. We are especially interested in analyzing the effect of learning by the insect population due to unsuccessfully visiting the deceiving plants.展开更多
基金FS thanks Consejo Nacional de Ciencia y Tecnología(CONACyT)for the Graduate Fellowship Grant 331194.
文摘In this paper,we study general recovery functions and treatment in the dynamics of an SIS model for sexually transmitted infections with nonzero partnership length.It is shown how partnership dynamics influences the predicted prevalence at the steady state and the basic reproduction number.Sobol's indices are used to evaluate the contribution of model parameters to the overall variance of R 0.The recovery functions studied here take into account that society's capacity to provide treatment is limited when the number of infected individuals is large.Bifurcation analysis is used to establish a relationship between an alert level of prevalence and the minimum recovery time that guarantees the eradication of the disease.We also show that a backward bifurcation can occur when there are delays in the treatment of infected individuals.
文摘In this paper, we propose a model describing the interaction between two species： a plant population that gets pollinated by an insect population. We assume the plant population is divided into two groups： the first group in mutualistic relationship with the insect and the second group attracting the insects while deceiving them and not delivering any reward. In addition, we assume that the insect population reduces the number of visits to the plants after several unsuccessful visits. We are interested in the conditions for the coexistence of both species, especially in the appearance of damped or sustained oscillations. We focus the analysis on the parameters that measure the balance among deceit, the benefit that the insect gets from the plant, and the learning by the pollinators. We are especially interested in analyzing the effect of learning by the insect population due to unsuccessfully visiting the deceiving plants.
