Stability switching and chaos in a multiple delayed prey–predator model with fear effect and anti-predator behavior

B Dubey, A Kumar - Mathematics and Computers in Simulation, 2021 - Elsevier
Recent studies demonstrate that the density of prey population is not only affected by direct
killing by the predator, but the fear in prey caused by predator also reduces it by cutting …

[PDF][PDF] Exploring the dynamics of a tritrophic food chain model with multiple gestation periods

RK Upadhyay, S Mishra, Y Dong, Y Takeuchi - Math. Biosci. Eng, 2019 - researchgate.net
This work is mainly focused on the series of dynamical analysis of tritrophic food chain
model with Sokol-Howell functional response, incorporating the multiple gestation time …

Complex dynamics in a tritrophic food chain model with general functional response

MY Dawed, PM Tchepmo Djomegni… - Natural Resource …, 2020 - Wiley Online Library
This paper investigates the rich dynamics in a tritrophic food chain mathematical model,
consisting of three species: prey, intermediate predators, and top predators. It is assumed …

Optimal control of mathematical models on the dynamics spread of drug abuse

N Anggriani, S Toaha… - … Matematika, Statistika dan …, 2021 - journal.unhas.ac.id
This article examines the optimal control of a mathematical model of the spread of drug
abuse. This model consists of five population classes, namely susceptible to using drugs (S) …

A non-standard finite difference scheme for a class of predator–prey systems with non-monotonic functional response

KC Patidar, A Ramanantoanina - Journal of Difference Equations …, 2021 - Taylor & Francis
We design and analyse a non-standard finite difference (NSFD) scheme for a class of
predator–prey models with non-monotonic functional response. Such functional response …

Hopf-bifurcation and pattern selections in a three trophic level food web system

Shivam, T Singh, M Kumar - International Journal of Bifurcation and …, 2022 - World Scientific
The ecosystem comprises many food webs, and their existence is directly dependent upon
the growth rate of primary prey; it balances the whole ecosystem. This paper studies the …

Self-Diffusive Spatiotemporal Patterns in a Food Chain Model Through Weakly Nonlinear Analysis

SHIVAM, T Singh, M Kumar, SY Hsieh, KU Singh - Fractals, 2023 - World Scientific
Density distributions of populations with self-diffusion and interaction in a spatial domain are
dynamically visualized with coupled nonlinear reaction–diffusion equations. Incorporating …

Analytical study of food-web system via turing patterns

S Shivam, M Kumar, T Singh, R Dubey… - AIP Conference …, 2022 - pubs.aip.org
In this article, we proposed and analysed the Spatio-temporal dynamics of the food web of
three species, where the predation term of middle predator follows Holling Type IV and top …

Stability analysis of prey-predator model with Holling type IV functional response and infectious predator

AMA Siddik, S Toaha, AM Anwar - Jurnal Matematika, Statistika …, 2021 - journal.unhas.ac.id
Stability of equilibrium points of the prey-predator model with diseases that spreads in
predators where the predation function follows the simplified Holling type IV functional …

Stability analysis of fractional-order predator-prey model with anti-predator behaviour and prey refuge

S Karthikeyan, P Ramesh… - Journal of Mathematical …, 2023 - jmm.guilan.ac.ir
This article investigates a fractional-order predator-prey model incorporating prey refuge
and anti-predator behaviour on predator species. For our proposed model, we prove the …