Theory and Modern Applications
Table 1 The involved parameters and their definition in the 3SI3R model
From: A 3SI3R model for the propagation of two rumors with mutual promotion
Parameters | Definition | Parameters | Definition |
|---|---|---|---|
\(\lambda_{1}\) | The transmission probability of ignorants turning into spreaders 1 due to contacts | \(\gamma_{1}\) | The transmission probability of spreaders 1 turning into stiflers 1 due to contacts |
\(\lambda_{2}\) | The transmission probability of ignorants turning into spreaders 2 due to contacts | \(\gamma_{2}\) | The transmission probability of spreaders 2 turning into stiflers 2 due to contacts |
\(\lambda_{3}\) | The transmission probability of ignorants turning into spreaders 3 due to contacts | \(\alpha_{1}\) | The transmission probability of spreaders 3 turning into stiflers 1 due to contacts |
\(\beta_{1}\) | The transmission probability of spreaders 1 turning into spreaders 3 due to contacts | \(\alpha_{2}\) | The transmission probability of spreaders 3 turning into stiflers 2 due to contacts |
\(\beta_{2}\) | The transmission probability of spreaders 2 turning into spreaders 3 due to contacts | \(\alpha_{3}\) | The transmission probability of spreaders 3 turning into stiflers 3 due to contacts |
\(\delta_{1}\) | The forgetting rate of spreaders 1 turning into stiflers 1 | \(\sigma_{1}\) | The transmission probability of spreaders 1 turning into stiflers 3 due to contacts |
\(\delta_{2}\) | The forgetting rate of spreaders 2 turning into stiflers 2 | \(\sigma_{2}\) | The transmission probability of spreaders 2 turning into stiflers 3 due to contacts |
\(\delta_{3}\) | The forgetting rate of spreaders 3 turning into stiflers 3 | \(\eta_{1}\) | The transmission probability of stiflers 1 turning into stiflers 3 |
kÌ… | The average degree of the homogenous network | \(\eta_{2}\) | The transmission probability of stiflers 2 turning into stiflers 3 |