'Intrinsic growth rate' presentation slideshows

Introduction to Mathematical Modeling in Biology with ODEs

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Renewable Resources Chapter 17

Renewable Resources Chapter 17. Renewable flow resources Such as solar, wave, wind and geothermal energy. These energy flow resources are non-depletable. Renewable stock resources living organisms: fish, cattle and forests, with a natural capacity for growth

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Human Population Growth Chapter 4 (and Section 3.3)

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Theoretical Impacts of Habitat Fragmentation and Generalist Predation on Predator-Prey Cycles

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??????????. ????? ??? Jan. 30, 2011 2011 ???????. I. ???????????. (1) Malthusin Model (The Exponential Law)

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Mini-course bifurcation theory

Mini-course bifurcation theory. Part three: bifurcations of 2D systems. George van Voorn. Bifurcations. Bifurcations of equilibria in 1D Transcritical ( ? = 0) Tangent ( ? = 0) In 2D Transcritical (One ? = 0) Tangent (One ? = 0). Example. 2D ODE Rosenzweig-MacArthur (1963).

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Measuring and Modeling Population Changes

Measuring and Modeling Population Changes. Homework: p664 #1, p 665 #2, and p 668 #3,4. Measuring and Modeling Population Changes. An ecosystem is made up of abiotic (non-living) and biotic (living) resources.

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CDT403 Forskningsmetodik inom naturvetenskap och teknik. Complexity 130926, 13.15-15.00, Zeta

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Outbreaks

Outbreaks. An outbreak is the abrupt and massive increase in population size of animals and plants. Schistocera gregaria outbreak 2013 in Egypt. Barbosa et al. 2012. Coccinella septempunctata outbreak 2011 in Northern Germany. Lemmus lemmus.

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Overview of population growth:

Overview of population growth:. discrete continuous. density independent. Geometric Exponential Discrete Logistic. density dependent. Logistic. New Concepts: Stability DI (non-regulating) vs. DD (regulating) growth equilibrium . Variability in growth

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S-shaped growth

S-shaped growth. Flowers. Logistic Equation. dA / dt = r * A * (K-A) / K. r net growth rate for non-stressed growth K carrying capacity Ao initial population (or Area). If A<<K then (K-A) / K ~1 And we have exponential growth. dA / dt = r * A * (K-A) / K

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Prebiotic Evolution of Molecular Assemblies: From Molecules to Ecology

Prebiotic Evolution of Molecular Assemblies: From Molecules to Ecology. Omer Markovitch and Doron Lancet. Department of Molecular Genetics, Weizmann Institute of Science, Israel. Metabolism. Eco-system. Lipid world. RNA world. Assemblies / Clusters / Vesicles / Membranes ? Composition

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Population

Population A group of individuals of the same species that interact with each other in the same place at the same time. Metapopulation A population of populations, linked by genetic exchange (immigration and emigration). Describing a Population Distribution: total geographic range

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Renewable Resources Reading Perman et al (2 nd ed.) Chapters 9 and 10 Perman et al (3 rd ed.) Chapters 17 and 18

Renewable Resources Reading Perman et al (2 nd ed.) Chapters 9 and 10 Perman et al (3 rd ed.) Chapters 17 and 18. Renewable flow resources Such as solar, wave, wind and geothermal energy. These energy flow resources are non-depletable.

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Complexity, Emergence, and Chaos:

Complexity, Emergence, and Chaos: . Application to Regional Industrial Systems. Geog 220: Geosimulation Lisa Murawski 1/31/05. Complexity. Has many guises Information processing, physical systems, computer science/computation, psychology

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Stability and optimal harvest policy in a dynamic model of fishery

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