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Table 1 Parameter values used in the analyses

From: Outside-host phage therapy as a biological control against environmental infectious diseases

Parameter Explanation of the parameter Parameter values
α Virulence (Mortality of the infected hosts due to infection) 0.1 (day−1) in all the analysis
β Pathogen transmission rate to susceptible hosts from environment 10−5 (day−1) in all the analysis
Λ Pathogen release rate from infected hosts when they die 109 in all the analysis
β B Phage-resistant pathogen transmission rate to susceptible hosts from environment 0–10−10 (day− 1) in Fig. 3
0 (day− 1) in Figs. 1, 2; Additional file 1: Figure S1; Additional file 3: Figure S2 and Additional file 4: Figure S3
Λ B Phage-resistant pathogen release rate from infected hosts when they die 105 in Fig. 3
0 in Figs. 1, 2; Additional file 1: Figure S1; Additional file 3: Figure S2 and Additional file 4: Figure S3
β F Phage transmission rate to pathogens from the environment 10−8–10− 4 (day− 1) in Fig. 1
10− 7 (day− 1) in Fig. 2
10− 3 (day− 1) in Fig. 3 and Additional file 4: Figure S3
0 in Additional file 1: Figure S1
10− 9–10− 5 (day− 1) in Additional file 3: Figure S2
Λ F Phage burst size from infected pathogen 100 in Figs. 1, 2 and 3 and Additional file 4: Figure S3
0 in Additional file 1: Figure S1
0.0001–10 in Additional file 3: Figure S2
r S Susceptible host growth rate 0.1 (day− 1) in all the analysis
r P Pathogen growth rate outside-host 3 (day−1) in all the analysis
r B Phage-resistant bacteria growth rate outside-host 3 (day−1) in Fig. 3
0 (day− 1) in Figs. 1, 2; Additional file 1: Figure S1; Additional file 3: Figure S2 and Additional file 4: Figure S3
K Constant parameter K modifying the strength of density-dependence of the environmental growth rate 109 in all the analysis
μ SI Mortality of the susceptible and infected hosts due to other reasons than infection 0.001 (day−1) in all the analysis
μ P Pathogen mortality outside-host 0.1 (day−1) in all the analysis
μ B Phage-resistant bacteria mortality outside-host 0.1 (day−1) in Fig. 3
0 (day− 1) in Figs. 1, 2; Additional file 1: Figure S1; Additional file 3: Figure S2 and Additional file 4: Figure S3
μ F Phage decay rate outside-host 0.1 (day− 1) in Figs. 1, 2, 3; Additional file 3: Figure S2 and Additional file 4: Figure S3
0 (day− 1) in Additional file 1: Figure S1
δ Recovery of the hosts from infection 0 (day− 1) Figs. 1, 3; Additional file 1: Figure S1; Additional file 3: Figure S2 and Additional file 4: Figure S3
   0–0.8 (day− 1) in Fig. 2