Discrete-Time Two-Strain Epidemic Dynamics on Complex Networks
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866908548891410432 |
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| author | Namugera, Frank |
| author_facet | Namugera, Frank |
| contents | We investigate a discrete-time two-strain symbiotic epidemic model on complex networks with both random and long-range interactions. Our analysis examines how the co-infection recovery rate ($μ$), the long-range decay exponent ($α$), and the scale-free connectivity exponent ($γ$) shape epidemic persistence under cooperative dynamics. Comparison with a two-strain competition model shows how these parameters control strain dominance, coexistence, or extinction. The results demonstrate that contagion dynamics are strongly affected by environmental randomness and long-range couplings. In facultative symbiosis, the co-infection recovery rate undergoes a clear phase transition, separating persistence from extinction. In the competitive setting, regimes with $α< 2$ and $γ< 3$ markedly lower the epidemic threshold, allowing persistence even at small contagion rates ($σ$). Statistical analysis further reveals that $γ$ and $α$ exert pronounced, nonlinear, and time-dependent effects on strain survival. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_08294 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Discrete-Time Two-Strain Epidemic Dynamics on Complex Networks Namugera, Frank Physics and Society Probability We investigate a discrete-time two-strain symbiotic epidemic model on complex networks with both random and long-range interactions. Our analysis examines how the co-infection recovery rate ($μ$), the long-range decay exponent ($α$), and the scale-free connectivity exponent ($γ$) shape epidemic persistence under cooperative dynamics. Comparison with a two-strain competition model shows how these parameters control strain dominance, coexistence, or extinction. The results demonstrate that contagion dynamics are strongly affected by environmental randomness and long-range couplings. In facultative symbiosis, the co-infection recovery rate undergoes a clear phase transition, separating persistence from extinction. In the competitive setting, regimes with $α< 2$ and $γ< 3$ markedly lower the epidemic threshold, allowing persistence even at small contagion rates ($σ$). Statistical analysis further reveals that $γ$ and $α$ exert pronounced, nonlinear, and time-dependent effects on strain survival. |
| title | Discrete-Time Two-Strain Epidemic Dynamics on Complex Networks |
| topic | Physics and Society Probability |
| url | https://arxiv.org/abs/2508.08294 |