Modelling the Effect of Incubation and Latent Periods on the Dynamics of Vector-Borne Plant Viral Diseases
Most of the plant viral diseases spread through vectors. In case of the persistently transmitted disease, there is a latent time of infection inside the vector after acquisition of the virus from the infected plant. Again, the plant after getting infectious agent shows an incubation time after the interaction with an infected vector before it becomes diseased. The goal of this work is to study the effect of both incubation delay and latent time on the dynamics of plant disease, and accordingly a delayed model has been proposed. The existence of the equilibria, basic reproductive number ([Formula: see text]) and stability of equilibria have been studied. This study shows the relevance of the presence of two time delays, which may lead to system stabilization.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2020 |
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| Erschienen: |
2020 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:82 |
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| Enthalten in: |
Bulletin of mathematical biology - 82(2020), 7 vom: 16. Juli, Seite 94 |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Al Basir, Fahad [VerfasserIn] |
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| Links: |
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| Themen: |
Basic reproduction number |
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| Anmerkungen: |
Date Completed 30.07.2021 Date Revised 30.07.2021 published: Electronic Citation Status MEDLINE |
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| doi: |
10.1007/s11538-020-00767-2 |
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| funding: |
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| Förderinstitution / Projekttitel: |
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NLM312531893 |
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| 245 | 1 | 0 | |a Modelling the Effect of Incubation and Latent Periods on the Dynamics of Vector-Borne Plant Viral Diseases |
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| 500 | |a Date Revised 30.07.2021 | ||
| 500 | |a published: Electronic | ||
| 500 | |a Citation Status MEDLINE | ||
| 520 | |a Most of the plant viral diseases spread through vectors. In case of the persistently transmitted disease, there is a latent time of infection inside the vector after acquisition of the virus from the infected plant. Again, the plant after getting infectious agent shows an incubation time after the interaction with an infected vector before it becomes diseased. The goal of this work is to study the effect of both incubation delay and latent time on the dynamics of plant disease, and accordingly a delayed model has been proposed. The existence of the equilibria, basic reproductive number ([Formula: see text]) and stability of equilibria have been studied. This study shows the relevance of the presence of two time delays, which may lead to system stabilization | ||
| 650 | 4 | |a Journal Article | |
| 650 | 4 | |a Research Support, Non-U.S. Gov't | |
| 650 | 4 | |a Basic reproduction number | |
| 650 | 4 | |a Bifurcation | |
| 650 | 4 | |a Stability | |
| 650 | 4 | |a Time delay model | |
| 700 | 1 | |a Adhurya, Sagar |e verfasserin |4 aut | |
| 700 | 1 | |a Banerjee, Malay |e verfasserin |4 aut | |
| 700 | 1 | |a Venturino, Ezio |e verfasserin |4 aut | |
| 700 | 1 | |a Ray, Santanu |e verfasserin |4 aut | |
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| 773 | 1 | 8 | |g volume:82 |g year:2020 |g number:7 |g day:16 |g month:07 |g pages:94 |
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