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Effect of random movement and cooperative hunting in the prey-predator system:A dynamical approach被引量：1: 《International Journal of Biomathematics》2024年第3期211-240,共30页Shivam Teekam Singh Mukesh Kumar; Self-diffusion prerequisite is obtained as the spreading approach of biological populations.Cooperative hunting is a common behavior in predator populations that promotes predation and the coexistence of the prey-pred...; 关键词：Prey predator system hunting cooperation Allee effect HOPF-BIFURCATION diffusive instability amplitudeequation

Modeling the effect of time delay in implementation of mitigation policies on the control of atmospheric greenhouse gases: 《International Journal of Biomathematics》2023年第8期75-108,共34页Alok Kumar Verma Maitri Verma; the financial support in the form of Senior Research Fellowship(09/961(0014)/2019-EMR-1).; Mitigation of the enhanced greenhouse gas(GHG)concentrations in the Earth's atmosphere is imperative to meet the climate change mitigation objective.Governments of many countries are developing and implementing variou...; 关键词：Mathematical model greenhouse gases global warming mitigation strategies time delay HOPF-BIFURCATION

Bifurcation analysis and optimal control of an epidemic model with limited number of hospital beds: 《International Journal of Biomathematics》2023年第4期229-253,共25页A.K.Misra Jyoti Maurya; The authors also thankfully acknowledge financial support from Council of Scientific and Industrial Research,India through a research fellowship(File No.09/013(0841)/2018-EMR-I)Jyoti Maurya and DST-Science and Engineering Research Board,MATRICS Expert committee(File No.MTR/2021/000819)A.K.Misra to carry out this research work.; This paper deals with a three-dimensional nonlinear mathematical model to analyze an epidemic's future course when the public healthcare facilities,specifically the number of hospital beds,are limited.The feasibility ...; 关键词：Hospital beds HOPF-BIFURCATION saddle-node bifurcation transcritical bifurcation Bogdanov-Takens bifurcation optimal control

Impact of time delay and cooperation strategy on the stability of a predator-prey model with Holling type III functional response: 《International Journal of Biomathematics》2023年第3期165-193,共29页I.Benamara A.El Abdllaouit J.Mikramt; In this paper,we propose and analyze a delayed predator-prey model with Holling type III functional response taking into account cooperation behavior in predators.The time delay is introduced in the attack rate to rep...; 关键词：Predator-prey system Holling type III discrete delay cooperative hunting HOPF-BIFURCATION switch of stability

DYNAMICAL BEHAVIOR OF AN INNOVATION DIFFUSION MODEL WITH INTRA-SPECIFIC COMPETITION BETWEEN COMPETING ADOPTERS被引量：1: 《Acta Mathematica Scientia》2022年第1期364-386,共23页Rakesh KUMAR Anuj Kumar SHARMA Govind Prasad SAHU; In this paper,we proposed an innovation diffusion model with three compartments to investigate the diffusion of an innovation(product)in a particular region.The model exhibits two equilibria,namely,the adopter-free an...; 关键词：intra-specific competition basic influence number local stability HOPF-BIFURCATION normal form theory center manifold theorem

Comparison between two tritrophic food chain models with multiple delays and anti-predation effect: 《International Journal of Biomathematics》2021年第3期53-100,共48页Debgopal Sahoo G.P.Samanta; Exploring the predator prey linkage in food chain system is the most familiar research work in population biology.Recently,some research experiments show that predator-prey interaction not only governed by direct hunt...; 关键词：Food chain functional response anti-predation response digestion delay HOPF-BIFURCATION

Research on Rumor Spreading Model with Time Delay and Control Effect: 《Journal of Systems Science and Information》2019年第4期373-389,共17页Hongxing YAO Yushi ZOU; Supported by the National Natural Science Foundation of China(71701082); Information flow retains a critical role in decision making among investors. In this paper,we employ a diffusion model based on epidemiology theory to study the rumor spreading process within investors. The paper intr...; 关键词：EPIDEMIC MODEL RUMOR SPREADING HOPF-BIFURCATION control EFFECT

STABILITY AND BIFURCATION ANALYSIS OF A DELAYED INNOVATION DIFFUSION MODEL被引量：1: 《Acta Mathematica Scientia》2018年第2期709-732,共24页Rakesh KUMAR Anuj Kumar SHARMA Kulbhushan A GNIHOTRI; the Support Provided by the I.K.G. Punjab Technical University,Kapurthala,Punjab,India,where one of us(RK) is a Research Scholar; In this article, a nonlinear mathematical model for innovation diffusion with stage structure which incorporates the evaluation stage （time delay） is proposed. The model is analyzed by considering the effects of ext...; 关键词：Innovation diffusion model stability analysis HOPF-BIFURCATION normal form theory center manifold theorem

A Leslie-Gower Holling Type-II Predator-Prey Mathematical Model with Disease in Prey Population Incorporating a Prey Refuge: 《Journal of Mathematics and System Science》2016年第10期395-408,共14页P. Mandal N. Das S. Pal; We formulate and analyze a predator-prey model followed by Leslie-Gower model in which the prey population is infected by disease. We assume that the disease can only spread over prey population. As a result prey popu...; 关键词：Predator and prey Disease transmission Prey refuge Stability Hopf-bifurcation.

EFFECT OF KAIROMONE ON PREDATOR-PREY DYNAMICS -- A DELAY MODEL被引量：2: 《International Journal of Biomathematics》2013年第5期149-188,共40页SUDIP SAMANTA JOYDEV CHATTOPADHYA＊; In most of the predator-prey systems, prey individuals make transitions between vulnerable and invulnerable states or locations. This transition is regulated by various inducible defense mechanisms. Diel vertical migr...; 关键词：KAIROMONE diel vertical migration vulnerable and invulnerable prey timedelay stability analysis HOPF-BIFURCATION numerical simulations.

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