TY - T1 - Evolutionary suicide through a non-catastrophic bifurcation : adaptive dynamics of pathogens with frequency-dependent transmission SN - / UR - http://hdl.handle.net/10138/173651 T3 - A1 - Boldin, Barbara; Kisdi, Eva A2 - PB - Y1 - 2016 LA - eng AB - Evolutionary suicide is a riveting phenomenon in which adaptive evolution drives a viable population to extinction. Gyllenberg and Parvinen (Bull Math Biol 63(5):981-993, 2001) showed that, in a wide class of deterministic population models, a discontinuous transition to extinction is a necessary condition for evolutionary suicide. An implicit assumption of their proof is that the invasion fitness of a rare strategy is well-defined also in the extinction state of the population. Epidemic models ... VO - IS - SP - OP - KW - Adaptive dynamics; Evolutionary suicide; Non-catastrophic bifurcation; Transcritical bifurcation; Extinction; Virulence; Frequency-dependent incidence; DISEASE TRANSMISSION; SELF-EXTINCTION; TRADE-OFF; COEXISTENCE; POPULATION; HOST; ADAPTATION; VIRULENCE; PARASITES; TRAGEDY; 111 Mathematics; 1181 Ecology, evolutionary biology N1 - PP - ER -