Study of Dynamical Behavior of a Delayed Stage-Structured Predator-Prey Model with Disease in Prey

Abstract

The present paper deals with the dynamics of a stage-structured predator-prey model, with a ratio-dependent functional response including gestational delay in the predator. The prey is carrying an infection which affects the predator adversely. The boundedness of solutions and the stability of equilibrium points have been investigated. There is a Hopf-bifurcation arising out of the variation in the time-delay parameter. Numerical simulations of phase-plane diagrams, and bifurcation diagrams illustrate the dependence of the system on the delay -time. The effect of the disease transmission from prey to predator has also been illustrated through simulations.

Achieving Consensus in Groups with Low Authoritarianism of Participants in Decision Making

“…Negotiation models ultimately lead the researcher to the tools of game theory since negotiators pursue their own (often antagonistic) goals (Mazalov and Tokareva, 2012;Aronov et al, 2018;Das and Chakraborty, 2022;Niu and Zhou, 2023). However, the model considered in the study is closest to social networks, where participants, as a rule, are united by common interests and tasks, and relationships of trust of various levels are built.…”

“…The work of DeGroot demonstrated the fundamental possibility of describing the process of reaching consensus based on Markov chains (DeGroot, 1974). Markov chains are widely used in solving applied questions in various fields of activity (Buechel et al, 2015;Das and Chakraborty, 2022;Kumar and Kumar, 2023;Niu and Zhou, 2023;Tandon et al, 2023). The model of reaching consensus is based on the assumption that participants exchange opinions and can influence the opinions of other group members during the discussion.…”