Models for life : an introduction to discrete mathematical modeling with Excel /
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| Format: | eBook |
| Language: | English |
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Hoboken, New Jersey :
John Wiley & Sons, Inc.,
[2016]
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| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- Title page; table of contents; excel table of contents; preface; how to use this book; acknowledgments; 1 density-independent population models; 1.1 exponential growth; 1.2 exponential growth with stocking or harvesting; 1.3 two fundamental excel techniques; 1.4 explicit formulas; 1.5 equilibrium values and stability; 2 personal finance; 2.1 compound interest and savings; 2.2 borrowing for major purchases; 2.3 credit cards; 2.4 the time value of money: present value; 2.5 car leases; 3 combat models; 3.1 lanchester combat model; 3.2 phase plane graphs
- 3.3 the lanchester model with reinforcements3.4 hughes aimed fire salvo model; 3.5 armstrong salvo model with area fire; 4 the spread of infectious diseases; 4.1 the s-i-r model; 4.2 s-i-r with vital dynamics; 4.3 determining parameters from real data; 4.4 s-i-r with vital dynamics and routine vaccinations; 5 density-dependent population models; 5.1 the discrete logistic model; 5.2 logistic growth with allee effects; 5.3 logistic growth with harvesting; 5.4 the discrete logistic model and chaos; 5.5 the ricker model; 6 blood alcohol concentration and pharmacokinetics
- 6.1 blood alcohol concentration6.2 the widmark model; 6.3 the wagner model; 6.4 alcohol consumption patterns; 6.5 more general drug elimination; 6.6 the volume of distribution; 6.7 common drugs; 7 ranking methods; 7.1 introduction to markov models; 7.2 ranking sports teams; 7.3 google pagerank; 8 body weight and body composition; 8.1 constant calorie expenditure; 8.2 variable calorie expenditure; 8.3 health metrics; 8.4 body composition; 8.5 the body composition model for body weight; 8.6 points-based systems: the weight watchers model; appendix a: the geometric series formula
- Appendix b: lanchester's square law and the fractional exchange ratioappendix c: derivation of the fer = 1 line for the hughes salvo model; appendix d: the waiting time principle; appendix e: creating cobweb diagrams in excel; appendix f: proportion of total credit distributed does not exceed 1; bibliography; index; end user license agreement