Evolutionary dynamics
Encyclopedia
Evolutionary dynamics is the study of the mathematical principles
according to which life has evolved
and continues to evolve. In this area, Evolution has become a mathematical theory
, and any idea of an evolutionary process or mechanism should be studied in the context of the mathematical equations of evolutionary dynamics.
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
according to which life has evolved
Evolution
Evolution is any change across successive generations in the heritable characteristics of biological populations. Evolutionary processes give rise to diversity at every level of biological organisation, including species, individual organisms and molecules such as DNA and proteins.Life on Earth...
and continues to evolve. In this area, Evolution has become a mathematical theory
Theory (mathematical logic)
In mathematical logic, a theory is a set of sentences in a formal language. Usually a deductive system is understood from context. An element \phi\in T of a theory T is then called an axiom of the theory, and any sentence that follows from the axioms is called a theorem of the theory. Every axiom...
, and any idea of an evolutionary process or mechanism should be studied in the context of the mathematical equations of evolutionary dynamics.
See also
- Evolutionary biology
- Evolutionary game theoryEvolutionary game theoryEvolutionary game theory is the application of Game Theory to evolving populations of lifeforms in biology. EGT is useful in this context by defining a framework of contests, strategies and analytics into which Darwinian competition can be modelled. It originated in 1973 with John Maynard Smith...
- Evolutionary graph theoryEvolutionary graph theoryEvolutionary graph theory is an area of research lying at the intersection of graph theory, probability theory, and mathematical biology. Evolutionary graph theory is an approach to studying how topology affects evolution of a population...
External links
- Evolutionary Game Dynamics from Clay Mathematics InstituteClay Mathematics InstituteThe Clay Mathematics Institute is a private, non-profit foundation, based in Cambridge, Massachusetts. The Institute is dedicated to increasing and disseminating mathematical knowledge. It gives out various awards and sponsorships to promising mathematicians. The institute was founded in 1998...