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T1  - Evolutionary suicide through a non-catastrophic bifurcation : adaptive dynamics of pathogens with frequency-dependent transmission 
SN  -  /  
UR  - http://hdl.handle.net/10138/173651 
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A1  - Boldin, Barbara; Kisdi, Eva 
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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 ... 
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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 
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