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What is Population Dynamics

Chapter 11
Emerging Applications of Differential Equations and Game Theory
Population dynamics is the branch of life sciences that studies the size and age composition of populations as dynamical systems, and the biological and environmental processes driving them (such as birth and death rates, and by immigration and emigration). Example scenarios are ageing populations, population growth, or population decline.
Published in Chapter:
The Stability of an Epidemic Model With Piecewise Constant Argument by Lyapunov-Razumikhin Method
Nur Cengiz (Süleyman Demirel University, Turkey) and Duygu Aruğaslan-Çinçin (Süleyman Demirel University, Turkey)
Copyright: © 2020 |Pages: 24
DOI: 10.4018/978-1-7998-0134-4.ch011
Abstract
The authors propose a nonlinear epidemic model by developing it with generalized piecewise constant argument (GPCA) introduced by Akhmet. The authors investigate invariance region for the considered model. For the taken model into consideration, they obtain a useful inequality concerning relation between the values of the solutions at the deviation argument and at any time for the epidemic model. The authors reach sufficient conditions for the existence and uniqueness of the solutions. Then, based on Lyapunov-Razumikhin method developed by Akhmet and Aruğaslan for the differential equations with generalized piecewise constant argument (EPCAG), sufficient conditions for the stability of the trivial equilibrium and the positive equilibrium are investigated. Thus, the theoretical results concerning the uniform stability of the equilibriums are given.
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Chapter 20
Analysis of Human Resource in India over Last Three Decades in the Perspective of Society, Inequality, and Poverty
The branch of life sciences that studies short-term and long-term changes in the size and age composition of populations, and the biological and environmental processes influencing those changes. Population dynamics deals with the way populations are affected by birth and death rates, and by immigration and emigration, and studies topics such as ageing populations or population decline.
Published in Chapter: Analysis of Human Resource in India over Last Three Decades in the Perspective of Society, Inequality, and Poverty; From: Handbook of Research on Strategic Business Infrastructure Development and Contemporary Issues in Finance
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Chapter 9
Stability Analysis of a Nonlinear Epidemic Model With Generalized Piecewise Constant Argument
Population dynamics is the branch of life sciences that studies the size and age composition of populations as dynamical systems, and the biological and environmental processes driving them (such as birth and death rates, and by immigration and emigration). Example scenarios are ageing populations, population growth, or population decline.
Published in Chapter: Stability Analysis of a Nonlinear Epidemic Model With Generalized Piecewise Constant Argument; From: Emerging Applications of Differential Equations and Game Theory
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Chapter 2
Climate Change and Insect Pests: Economic Damages and Adaptive Strategies in Mediterranean Olive Groves
Major abiotic and biotic factors that tend to increase or decrease the population size, age, and sex composition of a species.
Published in Chapter: Climate Change and Insect Pests: Economic Damages and Adaptive Strategies in Mediterranean Olive Groves; From: Climate Change and the Economic Importance and Damages of Insects
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