Epstein Secrets

tions above, we make the substitution p= I -q-r. Then the 164 (autonomous) system above is described by dq = fq(q,r) dr dt =fr(q,r). • 165 We Taylor expand to linearize the system near a given fixed point (q• ,r ) and consider the 166 Jacobian, given by raqa (qtr.) I aq j(qtrt) = afr l (qtr.

. BioL 23,671-7 (2013). 214 12. Marshall, J. M. & Hay, B. a. Confinement of gene drive systems to local populations: A 215 comparative analysis. J. Theor. Biol. 294,153-171 (2012). 216 13. Sinkins, S. P. & Gould, F. Gene drive systems for insect disease vectors. Nat. Rev. Genet 217 7, 427-435 (200

fitness theory (Seger 1981, Grafen 1985, 2006, Queller 1985, Taylor 1992b, Taylor & Frank 1996, Frank 1998, Rousset & Billiard 2000, Rousset 2004, Taylor et al 2000, 2007b). In this paper, we explore the interaction between two strategies, A and B, given by the payoff matrix A B Ara b) B c d (

ad. Sci., 2009. Chapter 4 is published as: "Strategy selection in structured populations", C.E. Tarnita, H. Ohtsuki, T. Antal, F. F i, M.A. Nowak. J. Theor. Biol., doi:10.1016/j.jtbi.2009.03.035, 2009. Chapter 5 is published as: "Mutation-selection equilibrium in games with multiple strategies", T. Ant

): Introduction to Phase Transitions and Critical Phenomena. Oxford University Press, Oxford Stauffer, C. (1985) Introduction to Percolation Theory. Taylor and Francis. London Stergiopulos, N., Porret, C.A., De Brower, S., Mesiter, J.J. (1998) Arterial vasomotion: effect of flow and evidence of nonlinear

SIGHT_013751 Aihara, K., Matsumoto, G., Ikegaya, Y. (1984): Periodic and non-periodic responses of a periodically forced Hodgkin-Huxley oscillator. J. Theor. Biol. 140:27-38. Aihara, K., Numajiri, T., Matsumoto, G., Kotani, M. (1986): Structures of attractors in periodically forced neural oscillators. P