Note on the permanence of stochastic population models

2019 ◽  
Vol 27 (2) ◽  
pp. 123-129
Author(s):  
Shashi Kant
Keyword(s):  
Biological Systems ◽  
Short Note ◽  
Time Frame ◽  
Population Models ◽  
Stochastic Permanence ◽  
Stochastic Population Models ◽  
Surface Time ◽  
Long Time ◽  
Definition Of ◽  
Stochastic Population Model

Abstract The concept of permanence of any system is an important technical issue. This concept is very significant to all kind of systems, e.g., social, medical, biological, population, mechanical, or electrical. It is desirable by scientists and investigators that any system under consideration must be long time survival. For example, if we consider any ecosystem, it is always pre-requisite that this system is permanent. In general language, permanence is just the persistent and bounded system in a particular surface time frame. But the meaning may vary with the type of systems. For example, deterministic and stochastic biological systems have different concepts of permanence in an abstract mathematical platform. The reason is simple: it is due to the mathematical nature of parameters, methods of derivations of the model, biological assumptions, details of the study, etc. In this short note, we consider the stochastic models for their permanence. To address stochastic permanence of biological systems, many different approaches have been proposed in the literature. In this note, we propose a new definition of permanence for stochastic population models (SPM). The proposed definition is applied to the well-known Lotka–Volterra two species stochastic population model. The note is closed with the open ended discussion on the topic.

On stochastic population models in genetics

1976 ◽  
Vol 13 (1) ◽  
pp. 127-131 ◽  
Author(s):  
F. P. Kelly
Keyword(s):  
Stationary Distribution ◽  
Population Model ◽  
Population Models ◽  
Transition Rates ◽  
Stochastic Population Models ◽  
Mutant Forms ◽  
Stochastic Population Model ◽  
General Stochastic

Trajstman (1974) has shown that two different population models used to study the number of mutant forms maintained in a population have a certain marginal stationary distribution in common. In this note a general stochastic population model is proposed which subsumes these two models and shows that their transition rates are also related.

Economics of Climate Change Adaptation

2021 ◽  
Author(s):  
Babatunde O. Abidoye
Keyword(s):  
Climate Change ◽  
Climate Change Adaptation ◽  
Time Frame ◽  
Economic Framework ◽  
Long Time ◽  
The Difference ◽  
Adaptation Decision ◽  
Definition Of ◽  
Global Agreement ◽  
Short Time

To view climate change adaptation from an economic perspective requires a definition of adaptation, an economic framework in which to view adaptation, and a review of the literature on specific adaptations (especially in agriculture). A focus on tools for applying adaptation to developing countries highlights the difference between mitigation and the adaptation decision-making process. Mitigation decisions take a long-term perspective because carbon dioxide lasts for a very long time in the atmosphere. Adaptation decisions typically last the lifespan of the investments, so the time frame depends on the specific adaptation investment, but it is invariably short compared to mitigation choices, which have implications for centuries. The short time frame means that adaptation decisions are not plagued by the same uncertainty that plagues mitigation choices. Finally, most adaptation decisions are local and private, whereas mitigation is a global public decision. Private adaptation will occur even without large government programs. Public adaptations that require government assistance can mainly be made by existing government agencies. Adaptation does not require a global agreement.

On stochastic population models in genetics

1976 ◽  
Vol 13 (01) ◽  
pp. 127-131 ◽  
Author(s):  
F. P. Kelly
Keyword(s):  
Stationary Distribution ◽  
Population Model ◽  
Population Models ◽  
Transition Rates ◽  
Stochastic Population Models ◽  
Mutant Forms ◽  
Stochastic Population Model ◽  
General Stochastic

Trajstman (1974) has shown that two different population models used to study the number of mutant forms maintained in a population have a certain marginal stationary distribution in common. In this note a general stochastic population model is proposed which subsumes these two models and shows that their transition rates are also related.

A Philosophical Analysis To Uncover The Meaning And Terminology Of Person In Indonesian Criminal Law Context

2017 ◽  
Vol 1 (1) ◽  
pp. 56
Author(s):  
Nani Mulyati ◽  
Topo Santoso ◽  
Elwi Danil
Keyword(s):  
Criminal Law ◽  
Sufficient Conditions ◽  
Criminal Code ◽  
Legal Person ◽  
Philosophical Approach ◽  
Legal Personality ◽  
Legal Subject ◽  
Long Time ◽  
Definition Of ◽  
Broad Meaning

The definition of person and non-person always change through legal history. Long time ago, law did not recognize the personality of slaves. Recently, it accepted non-human legal subject as legitimate person before the law. This article examines sufficient conditions for being person in the eye of law according to its particular purposes, and then, analyses the meaning of legal person in criminal law. In order to do that, scientific methodology that is adopted in this research is doctrinal legal research combined with philosophical approach. Some theories regarding person and legal person were analysed, and then the concept of person was associated with the accepted definition of legal person that is adopted in the latest Indonesian drafted criminal code. From the study that has been done, can be construed that person in criminal law concerned with norm adressat of the rule, as the author of the acts or omissions, and not merely the holder of rights. It has to be someone or something with the ability to think rationally and the ability to be responsible for the choices he/she made. Drafted penal code embraces human and corporation as its norm adressat. Corporation defined with broad meaning of collectives. Consequently, it will include not only entities with legal personality, but also associations without legal personality. Furthermore, it may also hold all kind of collective namely states, states bodies, political parties, state’s corporation, be criminally liable.

scholarly journals A remark on local fractional calculus and ordinary derivatives

2016 ◽  
Vol 14 (1) ◽  
pp. 1122-1124 ◽  
Author(s):  
Ricardo Almeida ◽  
Małgorzata Guzowska ◽  
Tatiana Odzijewicz
Keyword(s):  
Fractional Calculus ◽  
Fractional Derivative ◽  
Short Note ◽  
General Definition ◽  
Local Fractional Derivative ◽  
Fundamental Properties ◽  
Local Fractional Calculus ◽  
Definition Of

AbstractIn this short note we present a new general definition of local fractional derivative, that depends on an unknown kernel. For some appropriate choices of the kernel we obtain some known cases. We establish a relation between this new concept and ordinary differentiation. Using such formula, most of the fundamental properties of the fractional derivative can be derived directly.

scholarly journals Overview of Safety Measures at Selected Airports during the COVID-19 Pandemic

2021 ◽  
Vol 13 (15) ◽  
pp. 8499
Author(s):  
Monika Blišťanová ◽  
Michaela Tirpáková ◽  
Ľubomíra Brůnová
Keyword(s):  
Time Frame ◽  
Organizational Changes ◽  
Rt Pcr ◽  
Final Phase ◽  
Chain Reaction ◽  
Scoring Method ◽  
Safety Measures ◽  
Long Time ◽  
Polymerase Chain ◽  
Cleaning And Disinfection

The year 2020 was very challenging for the whole world, given the outbreak of the ongoing coronavirus-related pandemic, and was marked in particular by overcoming new hitherto unknown obstacles. For air transport, in particular, airlines stopped flying altogether and were forced to ground hundreds of planes worldwide involuntarily. Airports had to close their terminals for a long time, wholly suspend operations, and its resumption required significant organizational changes. This article summarizes the measures related to the COVID-19 pandemic adopted by airports to minimize the risk of spreading the disease. The article focuses on countermeasures and their implementation at selected airports in a specific time frame and airports’ behavior during a pandemic which varies depending on country and time of the year. The results demonstrated that steps being taken at airports include the use of face coverings or masks, social distance, enhanced cleaning and disinfection, or temperature checks and/or symptoms (fever, loss of smell, chills, cough, shortness of breath), RT-PCR (reverse transcription-polymerase chain reaction) screening and data collection with health declaration. These measures have now become an essential standard for the operation of airports and can, therefore, be used to assess the level of airport safety achieved. In the final phase, the article evaluates the level of achieved airport safety based on the proposed scoring method.

A “Natural” Proposal for Addressing Climate Change

2014 ◽  
Vol 28 (3) ◽  
pp. 359-363 ◽  
Author(s):  
Thomas E. Lovejoy
Keyword(s):  
Climate Change ◽  
Greenhouse Gases ◽  
Ethical Issues ◽  
Time Lag ◽  
Radiant Heat ◽  
Time Frame ◽  
Future Generations ◽  
Considerable Time ◽  
Long Time

One of the fundamental challenges of climate change is that we contribute to it increment by increment, and experience it increment by increment after a considerable time lag. As a consequence, it is very difficult to see what we are doing to ourselves, to future generations, and to the living planet as a whole. There are monumental ethical issues involved, but they are obscured by the incremental nature of the process and the long time frame before reaching the concentration of greenhouse gases and the ensuing accumulation of radiant heat—and consequent climate change—that ensues.

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