Latin hypercube sampling and infectious diseases

Greater home range overlap had no positive effects on prevalence, with a smaller core resulting in less range overlap yet more intensive use of the home range and higher prevalence. Defecation rate covaried positively with gastrointestinal parasite prevalence. Moreover, the effects of range use intensity were similar in magnitude to effects of group size, mortality rates, and the per-contact probability of transmission. Analyses of simulation output revealed a strong positive association between range use intensity and the prevalence of infection. We systematically varied model parameters using a Latin hypercube sampling design. Animals ranged randomly within a вЂњcoreвЂќ area, with biased movement toward the range center when outside the core. The model was spatially explicit and involved the spillover of a gastrointestinal parasite from a reservoir population along the edge of a simulated reserve, which was designed to mimic the introduction pathogens into protected areas. We also investigated the effects of epidemiological parameters involving host and parasite mortality rates, transmissibility, diseaseвЂ“related mortality, and group size. We developed an individual-based spatial simulation model to investigate how range use intensity, home range overlap, and defecation rate impact the spread of fecally transmitted parasites in a population composed of social groups (i.e., a socially structured population). Many of these parasites are acquired through contact with infectious stages present in soil, feces or vegetation, suggesting that ranging behavior will have a major impact on their spread. Finally, the numerical simulations of each strategy are depicted to demonstrate the importance of suggesting control interventions on the disease dynamics and eradication.Mammals are infected by a wide array of gastrointestinal parasites, including parasites that also infect humans and domesticated animals. Four strategies are presented by choosing different set of controls combination for the disease minimization. Moreover, an optimal control problem is formulated and the necessary optimality conditions are investigated in order to eradicate the disease in a community. Further, the global sensitivity analysis of the model is carried out using the Latin Hypercube sampling and the partial rank correlation coefficient techniques. The existence of backward bifurcation is discussed using the central manifold theory.

The global stability results are shown using the Lyapunov function of Goh-Voltera type. The threshold quantity R 0 is presented and the stability analysis of the system is carried out for the model equilibria. Initially, we formulate a mathematical model and then present the basic analysis of the model including the positivity and boundedness of the solution. This type of incidence rate, as well as the saturated treatment function, is also known as the Holling type II form and describes the effect of delayed treatment. In this paper, we construct an epidemic model to explore the transmission dynamics of vector-borne diseases with nonlinear saturated incidence rate and saturated treatment function.

In such outbreaks, many countries especially developing or underdevelopment faces a situation where the number of infected individuals is getting larger and the medical facilities are limited. Vector-host infectious diseases remain a challenging issue and cause millions of deaths each year globally.

Latin hypercube sampling and infectious diseases