Physico-chemical phenomena endure in the nanoscale domains of organic–inorganic interfaces for exfoliation, interfacial debonding and cracking of the graphite sheets.
A three variable mathematical model describing the propagation of an infectious disease in a human population is proposed and analyzed. The human population is assumed to live in two distinct habitats with no inter-habitat migration. The infectious agent disperse randomly among the said habitats. Methods of upper and lower solutions are used to establish the existence of traveling wave solutions connecting the trivial with the nontrivial equilibrium. The critical wave speed required for the existence of such wave solutions has been found out and shown to depend on different system parameters together with the dispersal rate.
Menopause is the period of transition in the life of women during which several physiological changes occurs. This period not only marks the end of reproductive cycle of women but also makes them vulnerable to several chronic diseases such as cardiovascular disease, osteoporosis, diabetes, gastritis, asthmas, liver disease etc. Food and other lifestyle factors greatly affect the health status of post menopausal women. This demands special care and attention to the women during this phase. The present study was carried out in Jorhat city of Assam with a sample size of 100 with the aim to assess the nutritional status of post menopausal women. Simple random sampling was employed for selection of sample. Only those women who have attained menopause were selected for the study. The data from respondents were collected by means of a structured questionnaire and mean nutrient intake of the respondents were recorded by employing 24 hour recall method. The mean age of attainment of menopause among the respondents was 48.58±3.38 years and majority of respondents attained menopause between the ages of 45-50 years. A significant association (p<0.05) of physical activity pattern and BMI with menopausal age of the respondents were observed. Menopausal age was also found to be associated significantly (p<0.05) with diabetes, gastritis and bone disease. The result of dietary assessment showed a poor dietary intake by the women. The mean protein intake was found 47.15 ±19.21 g/day which was 14.27% lower than the RDA. The diet of the respondents were also deficit in minerals with mean calcium, magnesium, phosphorus and iron intake of 479.36 ±183, 116.25±87.39, 519.68 ±165.45 and 17.03±8.34 mg/day. However higher intake of carbohydrate and fat was recorded among the studied population. The study shows that the post menopausal women of Jorhat of Assam have poor nutritional status and therefore requires special attention.
We present and analyze an epidemiological model containing Susceptible (S(t)) and Infected (I(t)) populations. The incidence rate is assumed to be nonlinear in the infected fraction (I p (t)) as well as the susceptible fraction (S q (t)). The dynamical behavior of the system is investigated from the point of view of stability and bifurcation. To model the recovery time of infected populations, a recovery delay, both in distributed and discrete form is introduced. In all the cases, it is shown that the infected incidence fraction p plays a vital role in controlling the dynamical behavior of the system. Numerical simulations are performed to justify the analytical findings.
In this paper, a food-chain model in a mangrove ecosystem with detritus recycling is analyzed. From the stability analysis of the delayed homogeneous system, an interval for the parameter representing detritus-detritivores interaction rate is obtained that imparts stability to the system around the coexistent state. Next, we have studied the model in a nonhomogeneous environment. The analysis revealed the existence of a subinterval of the above mentioned interval such that when the above interaction-rate lies within this interval, the system will undergo diffusion driven instability. Finally, we show the existence of travelling wave solutions for the said ecosystem. Numerical simulations are carried out to augment analytical results.
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