Mathematical Investigations on the Law of Population Growth

2001 ◽  
pp. 69-75
Author(s):  
P.-F. Verhulst
Keyword(s):  
Population Growth ◽  
The Law

scholarly journals Principle of Limiting Factors-Driven Piecewise Population Growth Model I: Qualitative Exploration and Study Cases on Continuous-Time Dynamics

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-24
Author(s):  
Héctor A. Echavarria-Heras ◽  
Cecilia Leal-Ramírez ◽  
Guillermo Gómez ◽  
Elia Montiel-Arzate
Keyword(s):  
Population Growth ◽  
Growth Model ◽  
Continuous Time ◽  
Extreme Values ◽  
Logistic Map ◽  
Phase Region ◽  
Limiting Factors ◽  
Time Dynamics ◽  
The Law ◽  
Global Trajectory

We examine the comportment of the global trajectory of a piecewisely conceived single species population growth model. Formulation relies on what we develop as the principle of limiting factors for population growth, adapted from the law of the minimum of Liebig and the law of the tolerance of Shelford. The ensuing paradigm sets natality and mortality rates to express through extreme values of population growth determining factor. Dynamics through time occur over different growth phases. Transition points are interpreted as thresholds of viability, starvation, and intraspecific competition. In this delivery, we focus on the qualitative study of the global trajectory expressed on continuous time and on exploring the feasibility of analytical results against data on populations growing under experimental or natural conditions. All study cases sustained fittings of high reproducibility both at empirical and interpretative slants. Possible phase configurations include regimes with multiple stable equilibria, sigmoidal growth, extinction, or stationarity. Here, we also outline that the associating discrete-time piecewise model composes the logistic map applied over a particular region of the phase configuration. Preliminary exploratory analysis suggests that the logistic map’s chaos onset could surpass once the orbit enters a contiguous phase region.

scholarly journals Perlindungan Hukum Terhadap Korban Perdagangan Perempuan Dan Anak (Trafficking) (Studi Pengadilan Negeri Medan)

2019 ◽  
Vol 1 (1) ◽  
pp. 89-99
Author(s):  
Lisana Dewi Sidqin Tekualu ◽  
Anggreini Atmei Lubis ◽  
Riswan Munthe
Keyword(s):  
Population Growth ◽  
Human Trafficking ◽  
Legal Protection ◽  
Public Prosecutor ◽  
The Public ◽  
Long Time ◽  
Case Files ◽  
Women And Children ◽  
The Law ◽  
Indirect Protection

Human trafficking is a special criminal act that has been going on for a long time and is very difficult to eradicate. Medan City is one of the biggest cities in Indonesia which is one of the cities contributing to the exploitation of women and children, due to population growth that is far more dominant by women compared to men. This type of research is a normative juridical descriptive nature. Forms of legal protection for victims of trafficking of women and children are direct and indirect. It can directly be in the form of compensation in the form of restitution and compensation, and providing protection in the rights of other victims, such as giving a new identity, granting physical and psychological rehabilitation, and so forth. Indirect protection is the pouring of rules regarding trafficking for potential victims with the threat of criminal confinement and fines. In upholding the law to traffickers, it can be carried out in several stages, namely investigation and investigation by the police, examination of the completeness of case files by the public prosecutor, examination in trial, and carrying out a decision (execution) from the court

The Researches on the Decline of the Demographic Dividend and Human Capital Investment

2014 ◽  
Vol 687-691 ◽  
pp. 4654-4657
Author(s):  
Zhi Li Wang
Keyword(s):  
Human Capital ◽  
Population Growth ◽  
Capital Investment ◽  
Turning Point ◽  
Human Capital Investment ◽  
Chinese Economy ◽  
Demographic Dividend ◽  
High Quality ◽  
Cheap Labor ◽  
The Law

The law of population growth tells us that the demographic dividend could not last indefinitely. When the Lewis turning point comes, the Demographic Dividend will absolutely dwindle away. To maintain growth without the advantages of cheap labor, the Chinese economy must focus on the human capital investment, namely we must invest in human capital to create another demographic dividend with high quality to replace the previous demographic dividend with quantity.

Ethical Challenges: Less About Moral Wrongdoing and More About Communication Breakdown

2015 ◽  
Vol 20 (3) ◽  
pp. 72-84 ◽  
Author(s):  
Paula Leslie ◽  
Mary Casper
Keyword(s):  
Ethical Challenges ◽  
Speech Language Pathology ◽  
Thickened Liquids ◽  
Communication Breakdown ◽  
Professional Duty ◽  
Language Pathology ◽  
The Law ◽  
Personal Case

“My patient refuses thickened liquids, should I discharge them from my caseload?” A version of this question appears at least weekly on the American Speech-Language-Hearing Association's Community pages. People talk of respecting the patient's right to be non-compliant with speech-language pathology recommendations. We challenge use of the word “respect” and calling a patient “non-compliant” in the same sentence: does use of the latter term preclude the former? In this article we will share our reflections on why we are interested in these so called “ethical challenges” from a personal case level to what our professional duty requires of us. Our proposal is that the problems that we encounter are less to do with ethical or moral puzzles and usually due to inadequate communication. We will outline resources that clinicians may use to support their work from what seems to be a straightforward case to those that are mired in complexity. And we will tackle fears and facts regarding litigation and the law.

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