Dynamic Modeling of Biogenic Dispersion Inside Star Clusters | Chapter 6 | Innovations in Biological Science Vol. 2

The present work proposes for the first time, an explicit mechanism inspired by the dynamics of biological dispersion, widely used in ecology and epidemiology, to study the dispersion of biogenic units, interpreted as complex organic molecules, between rocky or water exoplanets (habitats) located inside star clusters. The discovery of a growing number of exoplanets and even extrasolar systems supports the scientific consensus that it is possible to find other signs of life in the universe. It should be noted that these investigations are characterized by their strong interdisciplinary nature because they combine elements of physics, chemistry, biology, geology, and mathematics among many other fields, leading to new research questions, new databases, and new methods of analysis. The results of the dynamic simulation suggest that for clusters with populations lower than 4 M⊕/ly3 it is not possible to obtain biogenic worlds after 5 Gyr. Above this population size, biogenic dispersion seems to follow a power law, the larger the density of worlds lessen the impact rate (β⁻⁰.⁴⁶) value to obtain at least one viable biogenic Carrier habitat after 5 Gyr. Finally, when we investigate scenarios by varying β, a well-defined set of density intervals can be defined by its characteristic β value, suggesting that biogenic dispersion has a behavior of “minimal infective dose” of “minimal biogenic effective” events by interval i.e. once this dose has been achieved, doesn’t matter if additional biogenic impact events occur on the habitat. The concurrence of the dispersion of complex biogenic units using epidemic theory, with suitable habitability conditions, what we call Biogenic Space, the appearance of life in an extrasolar system would be possible.

Author(s) Details:

Javier Burgos-Salcedo,
Fundación Universitaria San Mateo, Bogotá, Colombia.

Diana C. Sierra,
Corporación para la Investigación e Innovación -CIINAS, Bogotá, Colombia.

Please see the link here: https://stm.bookpi.org/IBS-V2/article/view/14136

Recent Study on Mathematical Model of Zoonotic Influenza Subtype A (H7N9) Spread in Human Population | Chapter 1 | Challenges in Disease and Health Research Vol.3

 This paper deals with the dynamics of zoonotic influenza type H7N9 human infection, both in birds and in humans. Most human cases of infection with A(H5N1) and A(H7N9) have been related to direct or indirect contact with contaminated live or dead poultry. It is critical to control the disease at the source of the animal to reduce the risk to humans. H7N9 has the potential to develop into a global threat, with one significant restriction right now that limits its potential to spread. A virus mutation can increase zoonotic influenza infection and its risk of becoming a pandemic influenza. We devised a statistical model of the impact of avian influenza on the population of humans and birds. A basic reproduction number for both the human and bird population has been computed,

R0 and Rb0  respectively, thus we have proved that the model is locally and globally asymptotically stable for disease – free equilibrium points when basic reproduction number for both populations is < 1. The endemic equilibrium point, which is globally asymptotically stable when > 1. in the bird population, is also proven. For different parameters of the model, extensive numerical simulations and sensitivity analysis are done. Critically analysed and divided into their respective classes are the effects of vaccination, sequestration and recovery. As evidenced by the simulations, the study model yields satisfactory results and can be used country-wise to predict future epidemic situations. In these different scales, we use real data and our model helps us to generalise our forecasts and make better recommendations for controlling this epidemic. Our next research will be focused on geographical consideration of secret factors that influence immunity, birth rate, and death rate.

Author (s) Details

Durgesh Nandini Sinha
Department of Mathematics, Temple University, Philadelphia, USA and Strayer University, Online Division, USA.

View Book :- https://bp.bookpi.org/index.php/bpi/catalog/book/286

Estimating the Stability of a Delayed SIQRS Model with Temporary Immunity | Chapter 13 | Theory and Practice of Mathematics and Computer Science Vol. 2

 

A time-delayed SIQRS model with a linear incidence rate is discussed in this paper. Immunity obtained by enduring the disease is temporary; individuals can return to the susceptible class after a specified period of time when they are infected. Second, it analyses the local and global stability of the infection-free balance, respectively. Second , in terms of the occurrence rate and locally asymptotic stability, the endemic equilibrium is formulated. Finally, the Adomian method of decomposition is extended to the epidemiological scheme. In terms of convergent infinite power series, this approach yields an empirical solution.

Author (s) Details

Laid Chahrazed
Department of Mathematics, Faculty of Exact Sciences, University Freres Mentouri, Constantine 1, Algeria.

Rahmani Fouad lazhar
Department of Mathematics, Faculty of Exact Sciences, University Freres Mentouri, Constantine 1, Algeria.

View Book :- https://bp.bookpi.org/index.php/bpi/catalog/book/271