Local vs. Long-Range Infection in Unidimensional Epidemics
We study the effects of local and distance interactions in the unidimensional contact process (CP). In the model, each site of a lattice is occupied by an individual, which can be healthy or infected. As in the standard CP, each infected individual spreads the disease to one of its first-neighbors w...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2019-03-01
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| Series: | Frontiers in Physics |
| Subjects: | |
| Online Access: | https://www.frontiersin.org/article/10.3389/fphy.2019.00017/full |
| _version_ | 1817991048553562112 |
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| author | Priscila R. Silveira Marcelo M. de Oliveira Sidiney G. Alves |
| author_facet | Priscila R. Silveira Marcelo M. de Oliveira Sidiney G. Alves |
| author_sort | Priscila R. Silveira |
| collection | DOAJ |
| description | We study the effects of local and distance interactions in the unidimensional contact process (CP). In the model, each site of a lattice is occupied by an individual, which can be healthy or infected. As in the standard CP, each infected individual spreads the disease to one of its first-neighbors with rate λ, and with unitary rate, it becomes healthy. However, in our model, an infected individual can transmit the disease to an individual at a distance ℓ apart. This step mimics a vector-mediated transmission. We observe the host-host interactions do not alter the critical exponents significantly in comparison to a process with only Lévy-type interactions. Our results confirm, numerically, early field-theoretic predictions. |
| first_indexed | 2024-04-14T01:08:01Z |
| format | Article |
| id | doaj.art-2c4b38665a2f4a33949842e3404f689b |
| institution | Directory Open Access Journal |
| issn | 2296-424X |
| language | English |
| last_indexed | 2024-04-14T01:08:01Z |
| publishDate | 2019-03-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Physics |
| spelling | doaj.art-2c4b38665a2f4a33949842e3404f689b2022-12-22T02:21:10ZengFrontiers Media S.A.Frontiers in Physics2296-424X2019-03-01710.3389/fphy.2019.00017440312Local vs. Long-Range Infection in Unidimensional EpidemicsPriscila R. SilveiraMarcelo M. de OliveiraSidiney G. AlvesWe study the effects of local and distance interactions in the unidimensional contact process (CP). In the model, each site of a lattice is occupied by an individual, which can be healthy or infected. As in the standard CP, each infected individual spreads the disease to one of its first-neighbors with rate λ, and with unitary rate, it becomes healthy. However, in our model, an infected individual can transmit the disease to an individual at a distance ℓ apart. This step mimics a vector-mediated transmission. We observe the host-host interactions do not alter the critical exponents significantly in comparison to a process with only Lévy-type interactions. Our results confirm, numerically, early field-theoretic predictions.https://www.frontiersin.org/article/10.3389/fphy.2019.00017/fullcontact processLévy-flightsabsorbing statenon-equilibrium phase transitionscritical phenomena |
| spellingShingle | Priscila R. Silveira Marcelo M. de Oliveira Sidiney G. Alves Local vs. Long-Range Infection in Unidimensional Epidemics Frontiers in Physics contact process Lévy-flights absorbing state non-equilibrium phase transitions critical phenomena |
| title | Local vs. Long-Range Infection in Unidimensional Epidemics |
| title_full | Local vs. Long-Range Infection in Unidimensional Epidemics |
| title_fullStr | Local vs. Long-Range Infection in Unidimensional Epidemics |
| title_full_unstemmed | Local vs. Long-Range Infection in Unidimensional Epidemics |
| title_short | Local vs. Long-Range Infection in Unidimensional Epidemics |
| title_sort | local vs long range infection in unidimensional epidemics |
| topic | contact process Lévy-flights absorbing state non-equilibrium phase transitions critical phenomena |
| url | https://www.frontiersin.org/article/10.3389/fphy.2019.00017/full |
| work_keys_str_mv | AT priscilarsilveira localvslongrangeinfectioninunidimensionalepidemics AT marcelomdeoliveira localvslongrangeinfectioninunidimensionalepidemics AT sidineygalves localvslongrangeinfectioninunidimensionalepidemics |