Role of Viral Infection in Controlling Planktonic Blooms-Conclusion Drawn from a Mathematical Model of Phytoplankton-Zooplankton System

Das, Krishna Pada; Roy, Prodip; Karmakar, Partha; Sarkar, Sandipan

doi:10.1007/s12591-016-0332-8

Cited by 8 publications

(2 citation statements)

References 48 publications

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“…Finally, we are beginning to measure the impact of viral diversity on the living world. Through various mechanisms, such as the destruction of a dominant species to the benefit of rarer species [16] or the transfer of viral genes to the host, viruses (bacteriophage) maintain the biodiversity of aquatic ecosystems and facilitate genetic mixing [17]. Several works [17,18] confirm that viruses have a significant role in aquatic bacterial diversity.…”

Section: Introductionmentioning

confidence: 99%

Bacterial Competition in the Presence of a Virus in a Chemostat

Albargi

Hajji

2023

Mathematics

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We derive a mathematical model that describes the competition of two populations in a chemostat in the presence of a virus. We suppose that only one population is affected by the virus. We also suppose that the substrate is continuously added to the bioreactor. We obtain a model taking the form of an “SI” epidemic model using general increasing growth rates of bacteria on the substrate and a general increasing incidence rate for the viral infection. The stability of the steady states was carried out. The system can have multiple steady states with which we can determine the necessary and sufficient conditions for both existence and local stability. We exclude the possibility of periodic orbits and we prove the uniform persistence of both species. Finally, we give some numerical simulations that validate the obtained results.

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Section: Introductionmentioning

confidence: 99%

Bacterial Competition in the Presence of a Virus in a Chemostat

Albargi

Hajji

2023

Mathematics

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“…Das et al. ( 2016 ) focused on a phytoplankton–zooplankton model system with virally infected species and studied the essential features of plankton dynamics by taking two important parameters, i.e., mortality of phytoplankton and viral infection of zooplankton. Auger et al.…”

Section: Introductionmentioning

confidence: 99%