In this paper, we introduce a malaria model with an asymptomatic class in human population and exposed classes in both human and vector populations. The model assumes that asymptomatic individuals can get re-infected and move to the symptomatic class. In the case of an incomplete treatment, symptomatic individuals move to the asymptomatic class. If successfully treated, the symptomatic individu...

An experiment was conducted to investigate the effects of dietary dilution sources and levels on feather damage, performance, feeding behavior, and litter condition in rearing pullets. It was hypothesized that dietary dilution increases feeding-related behavior and improves feather condition, particularly if insoluble nonstarch polysaccharides are used as the dilution source. In total, 864 Lohm...

Italy faced the COVID-19 crisis in early stages of pandemic. In present study, a SEIR compartment mathematical model has been proposed. The considers four infection: susceptible(S), exposed (E), infected (I) and recovered (R). Basic reproduction number $$R_0$$ which estimates transmission potential disease calculated by next-generation matrix technique. We have estimated parameters using real d...

This paper is dedicated to the memory of Dietrich Stauffer, who was a pioneer in percolation theory and applications it problems society, such as epidemiology. An epidemic process gone out control, that is, going beyond critical transition threshold $p_c$. Here we discuss how related basic infectivity neighbors $R_0$, for trees (Bethe lattice), with triangular cliques, non-planar lattice extend...

In this paper, we consider global stability for a heroin model with two distributed delays. The basic reproduction number of the heroin spread is obtained, which completely determine the stability of equilibria. Using the direct Lyapunov method with Volterra type Lyapunov function, we show that the drug use-free equilibrium is globally asymptotically stable if the basic reproduction number is l...

We discuss the epidemic network model with infectious force in latent and infected period. We obtain the basic reproduction number and analyze the globally dynamic behaviors of the diseasefree equilibrium when the basic reproduction number is less than one. The effects of various immunization schemes are studied. Finally, the final sizes relation is derived for the network epidemic model. The d...

A transmission model of malaria with two delays is formulated. We calculate the basic reproduction number R 0 for the model. It is shown that the basic reproduction number is a decreasing function of two time delays. The existence of the equilibria is studied. Our results suggest that the model undergoes a backward bifurcation, which implies that bringing the basic reproduction number below 1 i...