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    Article

    Bifurcation dynamics of a plant-pest-natural enemy system in polluted environment incorporating gestation delays

    In this study, a three species plant-pest-natural enemy compartmental model incorporating gestation delays for both pests and natural enemies in a polluted environment is proposed. The boundedness and positivi...

    Vijay Kumar, Joydip Dhar, Harbax S. Bhatti in Ricerche di Matematica (2020)

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    Article

    Stability Switching Dynamics of a Food Chain System Incorporating Gestation Delays

    In the present study, a three species plant-pest-natural enemy model is proposed incorporating gestation delay for pests and natural enemies. The boundedness and positivity of the model are studied and analyze...

    Vijay Kumar, Joydip Dhar, Harbax S. Bhatti in Differential Equations and Dynamical Systems (2020)

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    Article

    Innovation diffusion model with interactions and delays in adoption for two competitive products in two different patches

    The aim of the present paper, how the people behave towards the offer of two products in two different patches. In this work, an innovation diffusion model with six-compartments for two different patches is pr...

    Rishi Tuli, Joydip Dhar, Harbax S. Bhatti in Ricerche di Matematica (2019)

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    Article

    Sustaining of two competing products under the impact of the media including the experience of adopters

    In the present study, we proposed an innovation diffusion model with four-compartments to investigate the interaction and diffusion of two competitive products in a particular region. Herein, Positivity, Bound...

    Rishi Tuli, Joydip Dhar, Harbax S. Bhatti in Journal of Applied Mathematics and Computing (2019)

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    Article

    A Stage-Structured Pest-Natural Enemy Dynamics with Holling Type-II Interaction and Maturation Delay for Pest Species

    In this paper, a pest-natural enemy dynamics with maturation delay for pest species is proposed. Here, pest is categorized into two stages, namely immature and mature and the natural enemy only harvest mature ...

    Vijay Kumar, Joydip Dhar, Harbax S. Bhatti in Environmental Modeling & Assessment (2019)

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    Article

    Innovation Diffusion Model for the Marketing of a Product with Interactions and Delay in Adoption for Two Different Patches

    In this paper, an innovation diffusion model with the delay in adoption is planned to study the dynamics of the adopter of the same product within two different patches. It is determined that solutions are pos...

    Rishi Tuli, Joydip Dhar, Harbax S. Bhatti in International Journal of Applied and Compu… (2018)

  7. Article

    Dynamics of a prey-generalized predator system with disease in prey and gestation delay for predator

    In the present study, a prey-generalized predator model is proposed with disease in the prey and gestation delay for predator. The asymptotic behavior of the model is studied for all the feasible equilibrium s...

    Harkaran Singh, Joydip Dhar, Harbax S. Bhatti in Modeling Earth Systems and Environment (2016)