Estimation of R(0) from the initial phase of an outbreak of a vector-borne infection

The magnitude of the basic reproduction ratio R(0) of an epidemic can be estimated in several ways, namely, from the final size of the epidemic, from the average age at first infection, or from the initial growth phase of the outbreak. In this paper, we discuss this last method for estimating R(0) for vector-borne infections. Implicit in these models is the assumption that there is an exponential phase of the outbreaks, which implies that in all cases R(0) > 1. We demonstrate that an outbreak is possible, even in cases where R(0) is less than one, provided that the vector-to-human component of R(0) is greater than one and that a certain number of infected vectors are introduced into the affected population. This theory is applied to two real epidemiological dengue situations in the southeastern part of Brazil, one where R(0) is less than one, and other one where R(0) is greater than one. In both cases, the model mirrors the real situations with reasonable accuracy.

Renormalizing the kinetic energy operator in elementary quantum mechanics

In this paper, we consider solutions to the three-dimensional Schrodinger equation of the form psi(r) = u(r)/r, where u(0) not equal 0. The expectation value of the kinetic energy operator for such wavefunctions diverges. We show that it is possible to introduce a potential energy with an expectation value that also diverges, exactly cancelling the kinetic energy divergence. This renormalization procedure produces a self-adjoint Hamiltonian. We solve some problems with this new Hamiltonian to illustrate its usefulness.

Will Bangladesh's economic growth solve its environmental problems?

Bangladesh has experienced rising GDP and rising per capita incomes now for at least three decades. This article considers whether its continuing economic growth is likely to solve its environmental problems. In doing so, it critically considers the application to Bangladesh of Environmental Kuznets Curve relationships and applies other macro-methods of assessing the relationship between economic growth and the environment to Bangladesh’s situation. The consequences of Bangladesh's economic reforms for the economic welfare of Bangladeshis and the state of Bangladesh's environment are also examined. Particular attention is given to environmental change in agriculture in the light of Bangladesh economic growth, reforms and proposed growth strategy. Doubts are expressed about the environmental benefits claimed by the Bangladeshi Government for its agricultural development strategy. Indeed, it may exacerbate many existing environmental problems, such as depletion of soil fertility and water supplies, already present.

The history and value of the elephant in Sri Lankan society

Reviews the literature to provide an overview of the historical significance of the elephant in Sri Lankan society, an association which dates back more than 4,000 years. The present status of this relationship assessed on the basis of the findings of a recent study undertaken on the total economic value of elephants in Sri Lanka. This paper, first briefly outlines the history, evolution, nature and their distribution of the Asian elephant while providing some insights on the status of the elephant (Elephas maxima maxima) in Sri Lanka. Next, it reviews the literature in order to assess the historical affiliation that the elephant has maintained with the Sri Lankan society, its culture, history, mythology and religion. The empirical evidence on the economic value of conservation of the remaining elephant population in Sri Lanka is reviewed and the Sri Lankan people’s attitudes towards conserving this species of wildlife. Literature reviewed and analysis undertaken indicates that the elephant in Sri Lanka, still, as in the past has a special place in Sri Lankan society, particularly, in its culture, religion and value system. Thus, there is a strong case for ensuring the survival of wild elephant population in Sri Lanka. Furthermore, it also suggests that the community as a whole will experience a net benefit from ensuring the survival of wild elephants in Sri Lanka.