Low temperatures or high isolation delay increases the average COVID-19 infections in India : A Mathematical modeling approach

The dynamics of COVID-19 in India are captured using a set of delay differential equations by dividing a population into five compartments. The Positivity and Boundedness of the system is shown. The Existence and Uniqueness condition for the solution of system of equations is presented. The equilibrium points are calculated and stability analysis is performed. Sensitivity analysis is performed on the parameters of the model. Bifurcation analysis is performed and the critical delay is calculated. By formulating the spread parameter as a function of temperature, the impact of temperature on the population is studied. We concluded that with the decrease in temperature, the average infections in the population increases. In view of the coming winter season in India, there will be an increase in new infections. This model falls in line with the characteristics that increase in isolation delay increases average infections in the population.

Boundary layer solutions to singularly perturbed quasilinear systems

<p style='text-indent:20px;'>We consider weak boundary layer solutions to the singularly perturbed ODE systems of the type <inline-formula><tex-math id="M1">\begin{document}$ \varepsilon^2\left(A(x, u(x), \varepsilon)u'(x)\right)' = f(x, u(x), \varepsilon) $\end{document}</tex-math></inline-formula>. The new features are that we do not consider one scalar equation, but systems, that the systems are allowed to be quasilinear, and that the systems are spatially non-smooth. Although the results about existence, asymptotic behavior, local uniqueness and stability of boundary layer solutions are similar to those known for semilinear, scalar and smooth problems, there are at least three essential differences. First, the asymptotic convergence rates valid for smooth problems are not true anymore, in general, in the non-smooth case. Second, a specific local uniqueness condition from the scalar case is not sufficient anymore in the vectorial case. And third, the monotonicity condition, which is sufficient for stability of boundary layers in the scalar case, must be adjusted to the vectorial case.</p>

The Real Problem with Uniqueness

Arguments against the Russellian theory of definite descriptions based on cases that involve failures of uniqueness are a recurrent theme in the relevant literature. In this paper, I discuss a number of such arguments, from Strawson (1950), Ramachandran (1993) and Szabo (2005). I argue that the Russellian has resources to account for these data by deploying a variety of mechanisms of quantifier domain restrictions. Finally, I present a case that is more problematic for the Russellian. While the previous cases all involve referential uses of descriptions (or some variations of such uses), the most effective objection to the uniqueness condition draws on genuine attributive uses.

“I Know Things They Don’t Know!”

In the current research, we investigated whether belief in conspiracy theories satisfies people’s need for uniqueness. We found that the tendency to believe in conspiracy theories was associated with the feeling of possessing scarce information about the situations explained by the conspiracy theories (Study 1) and higher need for uniqueness (Study 2). Further two studies using two different manipulations of need for uniqueness (Studies 3 and 4) showed that people in a high need for uniqueness condition displayed higher conspiracy belief than people in a low need for uniqueness condition. This conclusion is strengthened by a small-scale meta-analysis. These studies suggest that conspiracy theories may serve people’s desire to be unique, highlighting a motivational underpinning of conspiracy belief.

“I Know Things They Don’t Know!” The Role of Need for Uniqueness in Belief in Conspiracy Theories

In the current research, we investigated whether belief in conspiracy theories satisfies people’s need for uniqueness. We found that the tendency to believe in conspiracy theories was associated with the feeling of possessing scarce information about the situations explained by the conspiracy theories (Study 1) and higher need for uniqueness (Study 2). A further two studies using two different manipulations of need for uniqueness (Studies 3 and 4), showed that people in a high need for uniqueness condition displayed higher conspiracy belief than people in a low need for uniqueness condition. This conclusion is strengthened by a small-scale meta-analysis. These studies suggest that conspiracy theories may serve people’s desire to be unique, highlighting a motivational underpinning of conspiracy belief.