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Table 1 Model parameters, their definitions, range of values employed, and notes on their use.

From: Avoid, attack or do both? Behavioral and physiological adaptations in natural enemies faced with novel hosts

Parameter

Definition

Range

Comments

Host

   

d

Defense level of defended hosts

Held at 1

 

f

Frequency of defended hosts in the environment

0–1

 

a

Spatial aggregation level of defended hosts

0–1

a = 0 when defended and undefended hosts are randomly distributed and a→1 when defended and undefended hosts form two distinct patches.

Enemy

   

P

Probability of encountering a defended host during a random move in the foraging area

0–1

Increases with the frequency f of defended hosts and decreases with their aggregation level a P = f(1-a)

W0

Maximal potential fitness gain when attacking an host

Held at 1

Corresponds to the fitness gain when attacking a randomly encountered undefended host

H

Fitness loss due to host defense

0–1

Decreases with the level of physiological resistance R of the enemy and increases with the level of defense d of the host H = d(1-R)

S

Fitness loss due to active searching of undefended hosts

0–1

Increases with the difficulty in finding undefended hosts, i.e., with the probability P of encountering a defended host during a random move S = eP

e

Search cost coefficient

0–1

 

R

Physiological adaptation level

0–1

Physiological adaptation reduces the fitness loss H when attacking a defended victim.

CR

Physiological adaptation maintenance cost

0–1

Increases with the level of physiological adaptation R CR = kRx

B

Behavioral adaptation level

0–1

Behavioral adaptation corresponds to the probability of engaging in the active search of undefended hosts.

CB

Behavioral adaptation maintenance cost

0–1

Increases with the level of behavioral adaptation B CB = kBx

k

Maintenance cost coefficient

0–1

 

x

Shape coefficient of the maintenance cost functions

Held to 1/2, 1 or 2

Maintenance costs increase with the level of adaptation in an accelerating (x = 2), linear (x = 1) or decelerating (x = 1/2) way