A5009310084- Mathematical and Theoretical Epidemiology and Ecology Models
- Evolution and Genetic Dynamics
- Evolutionary Game Theory and Cooperation
- Fractional Differential Equations Solutions
- Mathematical Biology Tumor Growth
- Gene Regulatory Network Analysis
- Diabetes Management and Research
- COVID-19 epidemiological studies
- Coral and Marine Ecosystems Studies
- Diabetes and associated disorders
- Immune Cell Function and Interaction
- Insect and Pesticide Research
- Microplastics and Plastic Pollution
- Diabetes Management and Education
- Cancer Immunotherapy and Biomarkers
- Plant Virus Research Studies
- Grey System Theory Applications
- Statistical Distribution Estimation and Applications
- Insect and Arachnid Ecology and Behavior
- T-cell and B-cell Immunology
- Hemoglobinopathies and Related Disorders
- Poxvirus research and outbreaks
- Liver Disease Diagnosis and Treatment
- Monoclonal and Polyclonal Antibodies Research
- Bacteriophages and microbial interactions
Jadavpur University
2014-2024
This study explores the intricacies of COVID-19 pandemic by employing a four-compartment model with fractal-fractional derivative based on Caputo concept. The analysis hinges Schauder fixed point theorem, used to qualitatively examine solutions and ascertain their existence uniqueness within model. fundamental reproduction number is determined through next-generation matrix approach. delves into stability equilibrium points conducts sensitivity parameters. without infections locally globally...
A virus that infects both humans and animals, monkeypox is common in many West African countries has sporadically spread to other parts of the world. There are serious public health concerns around globe as a result recent spike cases among endemic non-endemic populations. This paper proposes use Caputo sense fractal fractional-order derivatives examine dynamics transmission. The study uses Schauder's fixed point theorem evaluate solutions qualitatively establish their uniqueness inside...
In this paper, we investigate a cannibalistic predator‐prey system with Beddington‐DeAngelis type response function when the infection only exists in predator species. The species are subject to interaction and spreads among predators via cannibalism. model is studied presence of multiple delays for maturation prey predator. Local stability analysis around biologically realistic two essential steady states investigated. We also bifurcation proposed co‐existing states. Using normal form...
With the effect of discrete time delay in deliberation, we propose and analyze a conceptual mathematical model for tumor-immune interaction. The proposed is delineated by system three coupled non-linear ordinary differential equations (ODEs), namely tumor cells, effector cells cytokine Interleukin-2 (IL-2). Though simple, can have complicated dynamical behaviors. We discussed qualitative properties including existence positivity solutions. find out tumor-free singular point interior steady...
In this paper, we propose and analyze a cannibalistic predator–prey model with transmissible disease in the predator population. The can be transmitted through contacts infected individuals as well cannibalism of an predator. We also consider incubation delay transmission, where period represents time which infectious agent develops host. Local stability analysis system around biologically feasible equilibria is studied. Bifurcation interior equilibrium Applying normal form theory central...
In the present study, we propose and analyze a predator–prey system with disease in predator population. To understand role of cannibalism, modify model considering population is cannibalistic type. Local global stability around biologically feasible equilibria are studied. The conditions for persistence worked out. We also compare community structure systems help ecological basic reproduction numbers. Finally, through numerical simulation, observe that inclusion cannibalism may control...
Biological signaling plays a crucial role in predator–prey interaction systems, serving both intraspecific and interspecific communication purposes. Prey populations utilize internally, employing honest signals among themselves to enhance their defense capabilities. Conversely, they also use for communication, emitting cues predators increase own chances of survival. Recently, Al-Salman et al. [Appl. Math. Modell. 89, 1405 (2021)] proposed two-species model incorporating Holling Type II...
In the present paper, we investigate a prey–predator system with disease in both prey and predator populations population is cannibalistic nature. The model extended by introducing incubation delays transmission terms. Local stability analysis of around biologically feasible equilibria studied. bifurcation interior equilibrium also sufficient conditions for permanence are derived presence delays. We observe that have ability to destabilize system. Finally, perform numerical experiments...