Table 1 Literature overview

[31]

Schaffer and Rosenzweig (1978)

HP, CSS

deterministic

ODE

constrained⁴

[32]

Seger (1988)

HP, many genotypes, chaos

deterministic

RE

constant

[33]

Nee (1989)

HP, co-evolution, recombination

deterministic

RE

constant

[34]

Dybdahl and Lively (1998)

time lag, experiment

deterministic

RE

constant

[35]

Boots and Sasaki (1999)

infection on lattice

both

ODE, IBM, AD

variable

[36]

Peters and Lively (1999)

fluctuating epistasis

deterministic

RE

constant

[37]

Sasaki (2000)

multilocus GfG

deterministic

ODE

constant

[38]

Agrawal and Lively (2001)

HP, selfing vs outcrossing

deterministic

RE

constant

[39]

Agrawal and Lively (2002)

HP, GfG vs MA

deterministic

RE

constant

[40]

Gandon (2002)

HP, local adaptation (spatial)

deterministic

RE

constant

[41]

Gandon (2004)

SI, multihost parasites

deterministic

ODE, AD

variable

[20]

Kouyos et al. (2007)

HP, oscillations in stochastic model

both⁷

ODE

constant⁵

[42]

Alizon and van Baalen (2008)

multiple infections, within-host and SI

deterministic

ODE, AD

variable

[43]

Agrawal (2009)

HP, sex vs recombination

deterministic

RE

constant

[44]

Best et al. (2009)

SI, transmission, susceptibility

deterministic

ODE, AD

constant

[21]

Engelstädter and Bonhoeffer (2009)

HP, RQ oscillations

deterministic

RE

constant

[45]

Lively (2010)

sex (long term persistence)

both⁶

RE

variable

[46]

Greischar and Lively (2011)

HP, extinction risk

deterministic

RE

constrained

[47]

Gilman et al. (2012)

HP, multiple host traits, resistance

stochastic

IBM

constant, constrained⁴

[48]

Mostowy and Engelstädter (2012)

interaction matrices, sex, LD

deterministic

RE

constant

[28]

Gokhale et al. (2013)

HP, population size

stochastic

IBM

variable, constrained

[49]

Luijckx et al. (2013)

MA, Daphnia

deterministic

RE

constant

[50]

Abou Chakra et al. (2014)

HP, plastic behaviour

both

ODE, IBM

constant

[51]

Taylor et al. (2014)

HP, virus of virus

deterministic

ODE

constrained

[23]

Ashby and Gupta (2014)

SI, state-dependent sex, MA

deterministic

ODE

variable

[8]

Ashby and King (2015)

SI, diversity, transmission, sex

stochastic

IBM

constant

[52]

Engelstädter (2015)

HP, infection matrices

deterministic

RE

constant

[53]

Rabajante et al. (2015)

HP, many types

deterministic

ODE

constrained

[25]

Song et al. (2015)

HP, population size, GfG MA

deterministic

ODE

constant, variable

[54]

Hesse et al. (2015)

environment, specialisation

deterministic

ODE, AD

constrained⁴

[24]

Gómez et al. (2015)

oscillation vs. arms race

stochastic

IBM

variable

[55]

Rabajante et al. (2016)

HP, rare types

deterministic, noise¹

ODE, SDE

constrained

[56]

Nordbotten and Stenseth (2016)

HP, RQ vs stasis

deterministic

PDE

constrained⁴

[57]

Best et al. (2017)

SI, no specificity, FSD

deterministic³

ODE, AD

constrained⁴

[58]

Bonachela et al. (2017)

crossfeeding

deterministic²

ODE

constrained

[59]

Greenspoon and Mideo (2017)

relatedness, transmission

deterministic

RE

constant

[60]

Lively (2017)

allopatric, sympatric parasites

deterministic²

RE

constrained

[61]

Nuismer (2017)

local, global adaptation

deterministic²

RE

constant

[62]

Veller et al. (2017)

HP, speed of evolution (RQ, RK)

stochastic

IBM

constant

[63]

Ashby and Boots (2017)

HP, SI, GfG MA

deterministic

ODE

constrained⁴

[27]

MacPherson and Otto (2018)

SI, HP, MA, RQ oscillations

deterministic

ODE

constant, constrained⁴

[18]

Ashby et al. (2019)

HP, population size change

deterministic

ODE, AD

constrained

[]

Current paper

(HP, MA, RQ) population size, extinction time

stochastic

IBM

constant, constrained, variable