Optimizing integrated mosquito control with SIT and natural enemies Suddhyashil Sarkar, Joydeb Bhattacharyya, Samares Pal International Journal of Biomathematics, 2025 The sterile insect technique (SIT) is an eco-friendly insect management tool that aims to suppress or eliminate wild insect populations by releasing sterile individuals. In this study, we formulate a mathematical model that integrates SIT with the continuous release of natural predators to suppress wild mosquito populations. We consider two release strategies for sterile mosquitoes: constant release (CR) and saturating proportional release (SPR). Our analysis reveals that successful wild mosquito eradication depends on initial population densities and critical release thresholds, which vary in relation to predator efficacy, mosquito life-history traits and sterile mosquito fitness. While SIT alone can suppress mosquito populations, its combination with predator release significantly enhances control efficacy. Although the CR strategy proves more effective than SPR in achieving eradication, optimal control analysis reveals that SPR outperforms CR in population suppression, especially when the costs of sterile mosquito release increase. Additionally, increased social investment in mosquito control efforts enhances suppression outcomes under both release strategies, suggesting a feedback mechanism in which increased societal urgency leads to more robust and effective vector control efforts.
MODELING AND ANALYSIS OF OPTIMAL IMPLEMENTATION OF STERILE INSECT TECHNIQUE TO SUPPRESS MOSQUITO POPULATION SUDDHYASHIL SARKAR, JOYDEB BHATTACHARYYA, SAMARES PAL Journal of Biological Systems, 2024 Sterile Insect Technique (SIT) is a biological insect (or pest) control tool aiming to reduce or eliminate wild insect (or pest) populations by releasing sterile insects (or pests). In this paper, we propose and study a stage- and sex-structured entomological model describing the dynamics of wild-type mosquito population and observed that the extinction equilibrium of the model is globally asymptotically stable when the basic offspring number is less than unity. However, when the basic offspring number is greater than unity, the extinction equilibrium becomes unstable, followed by the emergence of the stable interior equilibrium. We extend the model by introducing sterile male mosquitoes as a biological control agent against wild-type mosquito species. We have considered the Allee effect in the fertile female mosquito population due to the presence of non-egg-laying females in the mosquito population. While the wild mosquito-free equilibrium of the SIT model is always locally asymptotically stable, there exists either no interior equilibrium or a pair of interior equilibria, among which one is always unstable, and the other is always locally asymptotically stable. We observed that the wild mosquito population of the SIT system goes to extinction, followed by a saddle-node bifurcation when the supply rate of sterile males increases through some critical threshold value. As an alternative to the eradication policy, we formulated an optimal control problem to suppress the wild mosquito population, which suggests increasing the investment in awareness campaigns to suppress the mosquito population.
Intermittent Releases: A Modelling Approach for Sterile Insect Technique in Mosquito Control J Bhattacharyya, M Banerjee, S Banerjee Journal of Mathematical Biology 91 , 2025 2025 Citations: 1
Optimizing integrated mosquito control with SIT and natural enemies S Sarkar, J Bhattacharyya, S Pal International Journal of Biomathematics, 2550094 , 2025 2025 Citations: 1
Wolbachia-Based Mosquito Control: Environmental Perspectives on Population Suppression and Replacement Strategies J Bhattacharyya, DL Roelke Acta Tropica 262, 107517 , 2025 2025 Citations: 11
Optimal harvesting on a modified Leslie–Gower predator–prey model under fear and Allee effects on prey S Halder, J Bhattacharyya, S Pal Differential Equations and Dynamical Systems 32 (4), 1067-1096 , 2024 2024 Citations: 2
Modelling the efficacy of Wolbachia-based mosquito control: a population replacement approach J Bhattacharyya, S Banerjee The European Physical Journal Plus 139 (510), 1-23 , 2024 2024 Citations: 7
Mathematical studies on optimal implementation of SIT to suppress mosquito population S Sarkar, J Bhattacharyya, S Pal International Journal of Dynamics and Control 12, 3805–3827 , 2024 2024 Citations: 3
Effects of Rising Sea Surface Temperature on the Dynamics of Coral-Algal Interactions SS Maity, J Bhattacharyya, S Pal Advances in Nonlinear Dynamics, Volume 3, 623-635 , 2024 2024
Modeling and analysis of optimal implementation of sterile insect technique to suppress mosquito population S Sarkar, J Bhattacharyya, S Pal Journal of Biological Systems 32 (02), 859-888 , 2024 2024 Citations: 2
Non-smooth dynamics of a fishery model with a two-threshold harvesting policy J Bhattacharyya, M Banerjee, S Banerjee Communications in Nonlinear Science and Numerical Simulation 133 , 2024 2024 Citations: 10
Evaluating the consequences: Impact of sex-selective harvesting on fish population and identifying tipping points via life-history parameters J Bhattacharyya, A Chattopadhyay, A Sau, S Bhattacharya arXiv preprint arXiv:2401.16255 , 2024 2024
MUMPS in its third cycle of model development, calibration and validation, will be a tool for testing advanced concepts in theoretical ecology, specifically resistance of … DL Roelke, J Bhattacharyya, SE Cagle 2024 Ocean Sciences Meeting , 2024 2024
Dynamics of Zooplankton-Mediated Disease Outbreak in Coral-reef B Ranjit, S Biswas, J Bhattacharyya, J Chattopadhyay Diferential Equations and Dynamical Systems , 2023 2023 Citations: 4
A Spatially Explicit, Multi-nutrient, Multi-species Plankton Model for Shallow Bay Systems S Cagle, D Roelke, J Bhattacharyya Estuaries and Coasts 46, 1573–1589 , 2023 2023 Citations: 3
A Gender‑Selective Harvesting Strategy: Weak Allee Efects and a Non‑hyperbolic Extinction Boundary EM Takyi, J Bhattacharyya, R Parshad Acta Biotheoretica 71 (11), 1-28 , 2023 2023 Citations: 5
Modelling the Role of TV and Internet Coverage on Mitigating the Spread of R Medda, S Pal, J Bhattacharyya Trends in Biomathematics: Stability and Oscillations in Environmental … , 2023 2023
DYNAMICS OF A FISHERY MODEL WITH CONTINUOUS THRESHOLD HARVESTING POLICY AND ITS LEVERAGE FOR CONSERVATION AND MANAGEMENT J Bhattacharyya, A Chatterjee Journal of Biological Systems 30 (4), 1-31 , 2022 2022 Citations: 6
Predator-prey interactions under fear effect and multiple foraging strategies S Halder, J Bhattacharyya, S Pal Discrete and Continuous Dynamical Systems - Series B 27 (7), 3779-3810 , 2022 2022 Citations: 9
Effects of Predator-Driven Prey Dispersal on Sustainable Harvesting Yield J Bhattacharyya, P Piiroinen, S Banerjee International Journal of Bifurcation and Chaos 32 (11) , 2022 2022 Citations: 3
Modelling the role of TV and internet coverage on mitigating the spread of infectious diseases R Medda, S Pal, J Bhattacharyya International Symposium on Mathematical and Computational Biology, 383-405 , 2021 2021 Citations: 1
Comparative studies on a predator–prey model subjected to fear and Allee effect with type I and type II foraging S Halder, J Bhattacharyya, S Pal Journal of Applied Mathematics and Computing , 2019 2019 Citations: 29
Hysteresis in coral reefs under macroalgal toxicity and overfishing J Bhattacharyya, S Pal Journal of Biological Physics 41 (2), 151-172 , 2015 2015 Citations: 28
Sliding mode dynamics on a prey–predator system with intermittent harvesting policy J Bhattacharyya, DL Roelke, S Pal, S Banerjee Nonlinear Dynamics , 2019 2019 Citations: 17
The role of space in stage-structured cannibalism with harvesting of an adult predator J Bhattacharyya, S Pal Computers & Mathematics with Applications 66 (3), 339-355 , 2013 2013 Citations: 17
Stage-structured cannibalism with delay in maturation and harvesting of an adult predator J Bhattacharyya, S Pal Journal of Biological Physics 39 (1), 37-65 , 2013 2013 Citations: 17
Coexistence of competing predators in a coral reef ecosystem J Bhattacharyya, S Pal Nonlinear Analysis: Real World Applications 12 (2), 965-978 , 2011 2011 Citations: 17
Resisting annihilation: relationships between functional trait dissimilarity, assemblage competitive power and allelopathy RMW Muhl, DL Roelke, T Zohary, M Moustaka-Gouni, U Sommer, ... Ecology Letters 21, 1390-1400 , 2018 2018 Citations: 16
Algae-herbivore interactions with Allee effect and chemical defense J Bhattacharyya, S Pal Ecological Complexity , 2015 2015 Citations: 13
Dynamics of a Filippov predator-prey system with stage-specific intermittent harvesting J Bhattacharyya, PT Piiroinen, S Banerjee Nonlinear Dynamics 105 (1), 1019-1043 , 2021 2021 Citations: 12
Using YY supermales to destabilize invasive fish populations J Bhattacharyya, DL Roelke, JR Walton, S Banerjee Theoretical Population Biology 134, 1-14 , 2020 2020 Citations: 12
Wolbachia-Based Mosquito Control: Environmental Perspectives on Population Suppression and Replacement Strategies J Bhattacharyya, DL Roelke Acta Tropica 262, 107517 , 2025 2025 Citations: 11
Non-smooth dynamics of a fishery model with a two-threshold harvesting policy J Bhattacharyya, M Banerjee, S Banerjee Communications in Nonlinear Science and Numerical Simulation 133 , 2024 2024 Citations: 10
Stage-Structured Cannibalism in a Ratio-Dependent System with Constant Prey Refuge and Harvesting of Matured Predator J Bhattacharyya, S Pal Differential Equations and Dynamical Systems 24 (3), 345–366 , 2016 2016 Citations: 10
Predator-prey interactions under fear effect and multiple foraging strategies S Halder, J Bhattacharyya, S Pal Discrete and Continuous Dynamical Systems - Series B 27 (7), 3779-3810 , 2022 2022 Citations: 9
Dynamics of a stage-structured system with harvesting and discrete time delays J Bhattacharyya, S Pal Systems Science & Control Engineering: An Open Access Journal 2 (1), 192-215 , 2014 2014 Citations: 9
Modelling the efficacy of Wolbachia-based mosquito control: a population replacement approach J Bhattacharyya, S Banerjee The European Physical Journal Plus 139 (510), 1-23 , 2024 2024 Citations: 7
Herbivore harvesting and alternative steady states in coral reefs IH Sarkar, J Bhattacharyya, S Pal Applications of Mathematics 66 (2), 233-268 , 2021 2021 Citations: 7
DYNAMICS OF A FISHERY MODEL WITH CONTINUOUS THRESHOLD HARVESTING POLICY AND ITS LEVERAGE FOR CONSERVATION AND MANAGEMENT J Bhattacharyya, A Chatterjee Journal of Biological Systems 30 (4), 1-31 , 2022 2022 Citations: 6
Water column processes differentially influence richness and diversity of neutral, lumpy and intransitive phytoplankton assemblages FG Withrow, DL Roelke, RMW Muhl, J Bhattacharyya Ecological Modelling 370, 22-32 , 2018 2018 Citations: 6