This text begins with a brief outline of the ideas and methods of the mathematical modelling of populations. It goes on to cover such topics as the growth dynamics of isolated populations, predator-prey interaction, and competition and symbiosis.
Nonlinear Models of Interacting Populations
β Scribed by N. Goel (Auth.)
- Publisher
- Elsevier Science
- Year
- 1971
- Tongue
- English
- Leaves
- 141
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Table of Contents
Content:
REVIEWS OF MODERN PHYSICS MONOGRAPHS, Page ii
Front Matter, Page iii
Copyright, Page iv
Acknowledgments, Page vii
I - Introduction, Pages 1-5
II - Volterra Model, Pages 7-21
III - A Primitive Statistical Model of Population Growth, Pages 23-40
IV - Equilibrium Theory, Pages 41-57
V - Time-Dependent Fluctuations in Population, Pages 59-76
VI - Diversity and Stability in Ecological Systems, Pages 77-85
VII - Volterra Equations with Random Rate Constants, Pages 87-95
VIII - Population Growth as Birth and Death Processes, Pages 97-99
IX - Time Lags in Population, Pages 101-111
X - Generalization of Volterra Equations, Pages 113-120
XI - Experimental Verification of Volterra's Model, Pages 121-124
Appendix A - TIME AVERAGES OF VARIOUS FUNCTIONS OF Ni AND , Pages 125-130
Appendix B - MICROCANONICAL AVERAGES OF VARIOUS FUNCTIONS OF Ni, Pages 131-135
Appendix C - CANONICAL AVERAGES OF VARIOUS FUNCTIONS OF Ni, vi, AND THEIR TIME DERIVATIVES, Pages 137-140
Appendix D - ROOTS OF THE EQUATION zez+Ξ³=0, Ξ³ COMPLEX, Pages 141-142
References, Pages 143-145
π SIMILAR VOLUMES
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