Prey-predator model on the interaction of pathogenic bacteria and bacteriophages in the presence of medication

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dc.contributor.author Kiplang’at, Ronoh B.
dc.contributor.author Kirui, Wesley
dc.contributor.author Olwamba, Levi O.
dc.contributor.author Tonui, Bernard
dc.date.accessioned 2024-09-30T07:56:02Z
dc.date.available 2024-09-30T07:56:02Z
dc.date.issued 2024-09-17
dc.identifier.citation Journal of advances in mathematics and computer science, Volume 39, Issue 9, Page 71-84, 2024; Article no.JAMCS.123606 en_US
dc.identifier.issn 2456-9968
dc.identifier.uri http://repository.stmscientificarchives.com/id/eprint/2405/1/Kiplang%E2%80%99at3992024JAMCS123606.pdf
dc.identifier.uri http://repository.seku.ac.ke/xmlui/handle/123456789/7708
dc.description DOI: https://doi.org/10.9734/jamcs/2024/v39i91928 en_US
dc.description.abstract Antimicrobial resistance has become one of the greatest global threats to health, food security and development. This crisis of antimicrobial resistance has led to research on alternative treatment of bacterial infection. Among the possible alternatives is the revival of phage therapy which was widely abandoned after the clinical availability of antibiotics in the mid-20th century in many countries. Based on this information, this study developed a three-species model with two predators (Bacteriophages and medication) and one prey (Pathogenic bacteria). The main aim of the study is to provide an insight on the interaction of the prey and predators as suitable alternative for the clinical treatment of bacterial infections using combination antibiotics and bacteriophages. The developed model factors in how the two predators function mutually to fight the prey. The local stability analysis of equilibrium points are carryout using Jacobian matrix method from the model. The stability of the model was found at \(\frac{\rho-\sigma}{\frac{2\rho\theta3}{K}-\mu\theta1}\)<1 which is the basic reproduction number of the model and clearly showed how a therapy of both medication and bacteriophages is effective. Numerical simulation was done using MATLAB to visualize the effects of various treatment combinations of the bacterial infection. The results showed that use of both bacteriophages and antibiotics can be effectively be used in the management of bacterial infections. en_US
dc.language.iso en en_US
dc.subject Prey-predator en_US
dc.subject bacteriophages en_US
dc.subject pathogenic bacteria en_US
dc.subject antibiotics en_US
dc.title Prey-predator model on the interaction of pathogenic bacteria and bacteriophages in the presence of medication en_US
dc.type Article en_US


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