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Dynamics of stochastic predator-prey models with distributed delay and stage structure for prey

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (04)

In this paper, we analyze two stochastic predator-prey models with distributed delay and stage structure for prey. For the nonautonomous periodic case......

Order shrinkage and selection for the INGARCH(p,q) model

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (05)

The integer-valued generalized autoregressive conditional heteroskedastic (INGARCH) model is often utilized to describe data in biostatistics, such as......

Dynamics of a stochastic Holling II predator-prey model with Levy jumps and habitat complexity

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (06)

This paper investigates a stochastic Holling II predator-prey model with Levy jumps and habit complexity. It is first proved that the established mode......

Global analysis of a juvenile-adult model for cannibalistic species

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (06)

Cannibalism is a life trait occurring in a wide variety of species. To describe the population dynamics of cannibalistic species, we develop a stage-s......

Wong-Zakai approximations and long term behavior of stochastic FitzHugh-Nagumo system

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (03)

This paper is concerned with the Wong-Zakai approximations given by a stationary process via the Wiener shift and their associated long term behavior ......

Dynamical analysis of an SIS epidemic model with migration and residence time

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (04)

Migration can be divided into temporary and permanent migration, which is related to the residence time of people in the patch, thus we consider an SI......

Stability analysis of a fractional-order cancer model with chaotic dynamics

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (06)

In this paper, we develop a three-dimensional fractional-order cancer model. The proposed model involves the interaction among tumor cells, healthy ti......

Dynamics of an autonomous Gilpin-Ayala competition model with random perturbation

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (03)

This paper discusses the dynamics of a Gilpin-Ayala competition model of two interacting species perturbed by white noise. We obtain the existence of ......

Stability of traveling wave fronts for nonlocal diffusive systems

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (03)

This paper is concerned with stability of traveling wave fronts for nonlocal diffusive system. We adopt L-1-weighted, L-1- and L-2-energy estimates fo......

Global stability of a SEIR epidemic model with infectious force in latent period and infected period under discontinuous treatment strategy

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (05)

We consider a SEIR epidemic model with infectious force in latent period and infected period under discontinuous treatment. The treatment rate has at ......

Dynamics of bilateral control system with state feedback for price adjustment strategy

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (05)

The price fluctuation of commodities affects their demand, and it strongly influences the development of industry and the stability of the internation......

Neuro-optimized numerical treatment of HIV infection model

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (05)

In this paper, a neuro-optimized numerical method is presented for approximation of HIV virus progression model in the human body. The model is compos......

Global dynamics in an age-structured HIV model with humoral immunity

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (06)

In this paper, we formulate an age-structured HIV model, in which the influence of humoral immunity and the infection age of the infected cells are co......

Qualitative analysis of a diffusive predator-prey model with Allee and fear effects

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (06)

In this study, we consider a diffusive predator-prey model with multiple Allee effects induced by fear factors. We investigate the existence, boundedn......

Dynamics of a stochastic rabies epidemic model with Markovian switching

期刊: INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2021; 14 (05)

In this paper, we analyze a stochastic rabies epidemic model which is perturbed by both white noise and telegraph noise. First, we prove the existence......

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