SKU: 76369783963

Population Dynamics: Algebraic and Probabilistic Approach

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Population Dynamics: Algebraic and Probabilistic ApproachA population is a summation of all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding. The main mathematical problem for a given population is to carefully examine the evolution (time dependent dynamics) of the population. The mathematical methods used in the study of this problem are based on probability theory, stochastic processes, dynamical systems, nonlinear

A population is a summation of all the organisms of the same group or species, which live in a particular geographical area, and have the capability of interbreeding. The main mathematical problem for a given population is to carefully examine the evolution (time dependent dynamics) of the population. The mathematical methods used in the study of this problem are based on probability theory, stochastic processes, dynamical systems, nonlinear differential and difference equations, and (non-)associative algebras.

A state of a population is a distribution of probabilities of the different types of organisms in every generation. Type partition is called differentiation (for example, sex differentiation which defines a bisexual population). This book systematically describes the recently developed theory of (bisexual) population, and mainly contains results obtained since 2010.

The book presents algebraic and probabilistic approaches in the theory of population dynamics. It also includes several dynamical systems of biological models such as dynamics generated by Markov processes of cubic stochastic matrices; dynamics of sex-linked population; dynamical systems generated by a gonosomal evolution operator; dynamical system and an evolution algebra of mosquito population; and ocean ecosystems.

The main aim of this book is to facilitate the reader's in-depth understanding by giving a systematic review of the theory of population dynamics which has wide applications in biology, mathematics, medicine, and physics.

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SKU: 76369783963

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Lyssetic
Massapequa, US
★★★★★ 5
Favorite Socks Ever
Size: Medium, Color: Black/Assorted, Size: Medium, Color: Black/Assorted
I absolutely love these socks, they compress in the middle which is my favorite thing about them! Keeps them from slipping off my feet and also adds support, love love love how they feel and how long they last! This is my second pack that I’ve purchased, I had the multi colored ones before and they’ve lasted me two years before finally starting to wear out and fade and get holes. Definitely going to be routinely buying these every year. Good to wear with my work out shoes...winter boots, Nike sandals, and my everyday adidas sneakers. These are so worth it!
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Carol
Lexington, US
★★★★★ 5
Great ankle socks that stay put at a great price!!
Size: 6-9, Color: Assorted
These are great! I have been looking for a low profile ankle sock that is thinner but doesn’t ride down. (Picky, right?) I try to walk 5-7 miles on my days off. So it’s very important for me to not have to stop every couple of hundred yards, bend down, fix socks, then continue on my way while grumbling about NOT GREAT socks. These are not those socks. They really do stay put!!! And enough cushion to be comfortable also. So definitely a repeat!!
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Reviewed in the United States on December 2, 2018
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Nicole
Port Orchard, US
★★★★★ 5
Great quality, no holes or fading!
Size: Medium, Color: Black/Assorted
I purchased these socks a couple years ago and love them so much that I just recently purchased them again! They fit perfectly, don't make my feet sweaty, and hit the ankle at the right spot. The material is so good that over years they have not faded and even though I wear the same few pairs every day, they have no signs of thinning or holes! These are the ONLY socks that I buy. I have the black ones as well as the multi-colored ones. I will never buy another brand or style again!
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Jennifer M Bailey
Pawtucket, US
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Cute under armor socks
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There's no show under armour socks.Are perfect for anybody who likes thinner socks. I loved them, I love the design the colors and the comfort and fit. Hylie recommend to those of you who like thinner socks.
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Lake Worth, US
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Well made and perform well, a little constricting
Size: Medium, Color: Black Assortment (6-pairs)
These socks definitely keep most of the moisture away from my feet, even in wet conditions, which is why I bought them. I am diabetic, though, and the recommendation is to wear socks that don't constrict at any point. These have a tight band around the opening that while it is not uncomfortable on, leaves a mark when I take them off. So far it's been ok, but if you have any kind of swelling in your feet or ankles these would probably not be the best. My foot measures size 8 and I wear size 9 Brooks running shoes. The socks fit me just right but based on the size of the opening and the overall length, I wouldn't think they would fit anyone more than a size larger. Overall well made and perform well as you would expect from this brand.
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Reviewed in the United States on July 20, 2018

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