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Bifurcation analysis of a delayed reaction-diffusion-advection Nicholson's blowflies equation: 《International Journal of Biomathematics》2024年第7期53-77,共25页Mengfan Tan Chunjin Wei Junjie Wei; supported by the National Natural Science Foundation of China(Grant Nos.22132004,22072057,and 12171117).; In this paper,we investigate the dynamics of a reaction-diffusion Nicholson's blowfies equation with advection.The stability of positive steady state and existence of Hopf bifurcation are obtained by analyzing the dis...; 关键词：Nicholson's blowfies advection delay Hopf bifurcation

Investigating the effect of three different types of diffusion on the stability of a Leslie-Gower type predator-prey system: 《International Journal of Biomathematics》2024年第6期111-139,共29页Hongyu Chen Chunrui Zhang; In this paper,we consider a Leslie-Gower type reaction-diffusion predator-prey system with an increasing functional response.We mainly study the effect of three different types of diffusion on the stability of this sy...; 关键词：Predator-prey system reaction-diffusion-ordinary differential equations Turing instability Turing-Hopf bifurcation normal form

Hopf bifurcation in a delayed prey-predator model with prey refuge involving fear effect: 《International Journal of Biomathematics》2024年第5期1-32,共32页Ankit Parwaliya Anuraj Singh Ajay Kumar; supported by MATRICS,Science Engineering Research Board,Government of India(MTR/2020/000477).; This work investigates a prey-predator model featuring a Holling-type II functional response,in which the fear effect of predation on the prey species,as well as prey refuge,are considered.Specifically,the model assum...; 关键词：Hopf bifurcation fear effect prey refuge periodic solutions time delay branch off

SIRS epidemic modeling using fractional-ordered differential equations:Role of fear effect被引量：1: 《International Journal of Biomathematics》2024年第5期79-100,共22页Shiv Mangal O.P.Misra Joydip Dhar; In this paper,an SIRS epidemic model using Grunwald-Letnikov fractional-order derivative is formulated with the help of a nonlinear system of fractional differential equations to analyze the effects of fear in the pop...; 关键词：SIRS epidemic model fear effect Mittag-Leffler function Hopf bifurcation parameter estimation

Cross-diffusion induced Turing instability of Hopf bifurcating periodic solutions in the reaction-diffusion enzyme reaction model: 《International Journal of Biomathematics》2024年第4期133-150,共18页Haicheng Liu Wenshuo Yuan Bin Ge Jihong Shen; supported by Scientific Research and Innovation Fund for PhD Student:Research on the bifurcation problems of diffusive oncolytic virotherapy system(No.3072022CFJ2401).; Aiming at the spatial pattern phenomenon in biochemical reactions,an enzyme-reaction Sporns-Seelig model with cross-diffusion is chosen as study object.Applying the central manifold theory,normal form method,local Hop...; 关键词：Sporns-Seelig model diffusion Hopf bifurcation periodic solutions Turing instability

Fixed points stability,bifurcation analysis,and chaos control of a Lotka-Volterra model with two predators and their prey: 《International Journal of Biomathematics》2024年第4期1-38,共38页Muhammad Aqib Abbasi; The study of the population dynamics of a three-species Lotka-Volterra model is crucial in gaining a deeper understanding of the delicate balance between prey and predator populations.This research takes a unique appr...; 关键词：Fixed points existence and uniqueness Hopf bifurcation

Bifurcation analysis of an SIS epidemic model with a generalized non-monotonic and saturated incidence rate: 《International Journal of Biomathematics》2024年第4期39-73,共35页Chunxian Huang Zhenkun Jiang Xiaojun Huang Xiaoliang Zhou; supported by the NSF of China[Grant No.11961021];the NSF of Guangdong province[Grant Nos.2022A1515010964 and 2022A1515010193];the Innovation and Developing School Project of Guangdong Province[Grant No.2019KzDXM032];the Special Fund of Science and Technology Innovation Strategy of Guangdong Province[Grant Nos.pdjh2022b0320 and pdjh2023b0325].; In this paper,a new generalized non-monotonic and saturated incidence rate was introduced into a susceptible-infected-susceptible(SIS)epidemic model to account for inhibitory effect and crowding effect.The dynamic pro...; 关键词：SIS epidemic model generalized non-monotone and saturated incidence rate saddle-node bifurcation Hopf bifurcation Bogdanov-Takens bifurcation

Dynamic analysis and bifurcation control of a delayed fractional-order eco-epidemiological migratory bird model with fear effect: 《International Journal of Biomathematics》2024年第3期1-33,共33页Caihong Song Ning Li; supported by Liaoning Provincial Department of Education Scientific Research Fund Project(lnjc202018).; In this paper,a new delayed fractional-order model including susceptible migratory birds,infected migratory birds and predators is proposed to discuss the spread of diseases among migratory birds.Fear of predators is ...; 关键词：DELAYED FRACTIONAL-ORDER migratory birds FEAR Hopf bifurcation periodic pulse feedback

Kinetic analysis of p53 gene network with time delays and PIDD: 《International Journal of Biomathematics》2024年第3期57-88,共32页Ruimin Huo Nan Liu Hongli Yang Liangui Yang; p53 kinetics plays a key role in regulating cell fate.Based on the p53 gene regulatory network composed by the core regulatory factors ATM,Mdm2,Wipl,and PIDD,the effect of the delays in the process of transcription an...; 关键词：PIDD time delay p53 gene regulatory network Hopf bifurcation stochastic simulation.

Pattern dynamics and bifurcation in delayed SIR network with diffusion network: 《International Journal of Biomathematics》2024年第2期87-111,共25页Wenjie Yang Qianqian Zheng Jianwei Shen; The spread of infectious diseases often presents the emergent properties,which leads to more dificulties in prevention and treatment.In this paper,the SIR model with both delay and network is investigated to show the ...; 关键词：Pattern dynamics SIR model random network connection probability Hopf bifurcation

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