Effects of social-distancing on infectious disease dynamics: an evolutionary game theory and economic perspective.

abstract：:Although pneumococcal vaccines are quite effective in reducing disease burden, factors such as imperfect vaccine efficacy and serotype replacement present an important challenge against realizing direct and herd protection benefits of the vaccines. In this study, a novel mathematical model is designed and used to desc...

journal_title：Journal of biological dynamics

authors： Malik TM,Mohammed-Awel J,Gumel AB,Elbasha EH

更新日期：2021-02-17 00:00:00

abstract：:In this paper, we propose and analyse a delayed HIV-1 model with both viral and cellular transmissions and virus waning. We obtain the threshold dynamics of the proposed model, characterized by the basic reproduction number R 0 ...

journal_title：Journal of biological dynamics

authors： Li B,Jiao F

更新日期：2020-12-01 00:00:00

abstract：:In this article, we formulate and study a discrete equation model depicting the pattern of Wolbachia infection in a mosquito population. A domain in [Formula: see text] is called a Wolbachia infection enhancing (or decaying) domain if in which the Wolbachia infection frequency of the next generation is always bigger (...

journal_title：Journal of biological dynamics

authors： Shi Y,Yu J

更新日期：2020-12-01 00:00:00

abstract：:We model the extent to which age-targeted protective sequestration can be used to reduce ICU admissions caused by novel coronavirus COVID-19. Using demographic data from New Zealand, we demonstrate that lowering the age threshold to 50 years of age reduces ICU admissions drastically and show that for sufficiently stri...

journal_title：Journal of biological dynamics

authors： Jamieson-Lane A,Cytrynbaum E

更新日期：2020-12-01 00:00:00

abstract：:In this paper, we use an adaptive modeling framework to model and study how nutritional status (measured by the protein to carbohydrate ratio) may regulate population dynamics and foraging task allocation of social insect colonies. Mathematical analysis of our model shows that both investment to brood rearing and broo...

journal_title：Journal of biological dynamics

authors： Rao F,Rodriguez Messan M,Marquez A,Smith N,Kang Y

更新日期：2020-07-07 00:00:00

abstract：:We use juvenile-adult discrete-time infectious disease models with intrinsically generated demographic population cycles to study the effects of age structure on the persistence or extinction of disease and the basic reproduction number, [Formula: see text]. Our juvenile-adult Susceptible-Infectious-Recovered (SIR) an...

journal_title：Journal of biological dynamics

authors： van den Driessche P,Yakubu AA

更新日期：2020-12-01 00:00:00

abstract：:In this paper, we establish a mathematical model with two delays to reflect the intrinsic and extrinsic incubation periods of virus in dengue transmission. The basic reproduction number [Formula: see text] of the model is defined. It is proved that the disease-free equilibrium is stable when [Formula: see text] and th...

journal_title：Journal of biological dynamics

authors： Wu C,Wong PJY

更新日期：2019-12-01 00:00:00

abstract：:In this paper, we consider the impact of heterogeneous susceptibility on disease transmission dynamics, using a simple mathematical model formulated by a system of ordinary differential equations. Our model describes a time-varying immunity level, which is enhanced by reinfection and diminished by waning immunity. Thr...

journal_title：Journal of biological dynamics

authors： Nakata Y,Omori R

更新日期：2019-12-01 00:00:00

abstract：:Public health education, including mass and interpersonal communication, has been recognized as an effective control of infectious disease. Compared to the well-studied mass communication by dynamic modelling, not much mathematical study has been done on the effect of interpersonal communication. Here, we build a mode...

journal_title：Journal of biological dynamics

authors： Li G,Dong Y

更新日期：2019-12-01 00:00:00

abstract：:We describe the evolutionary game theoretic methodology for extending a difference equation population dynamic model in a way so as to account for the Darwinian evolution of model coefficients. We give a general theorem that describes the familiar transcritical bifurcation that occurs in non-evolutionary models when t...

journal_title：Journal of biological dynamics

authors： Cushing JM

更新日期：2019-12-01 00:00:00

abstract：:In epidemic modelling, the emergence of a disease is characterized by the low numbers of infectious individuals. Environmental randomness impacts outcomes such as the outbreak or extinction of the disease in this case. This randomness can be accounted for by modelling the system as a continuous time Markov chain, ...

journal_title：Journal of biological dynamics

authors： Milliken E

更新日期：2019-01-01 00:00:00

abstract：:In this paper, we analyze a mathematical model for an inflammatory response to bacterial infection of homogeneous tissues. Specifically, we provide a detailed analysis of the Lauffenburger-Kennedy bacterial infection model and show that the model exhibits three possible equilibria corresponding to a bacteria-free and ...

journal_title：Journal of biological dynamics

authors： Yang Y,Cherif A,Zhang Y

更新日期：2018-12-01 00:00:00

abstract：:Global eradication of Guinea worm disease (GWD) is in the final stage but a mysterious epidemic of the parasite in dog population makes the elimination programme challenging. There is neither a vaccine nor an effective treatment against the disease and therefore intervention strategies rely on the current epidemiologi...

journal_title：Journal of biological dynamics

authors： Ghosh I,Tiwari PK,Mandal S,Martcheva M,Chattopadhyay J

更新日期：2018-12-01 00:00:00

abstract：:Bacteriophage can be an effective means of regulating bacterial populations when conditions allow phage invasion of bacterial colonies. Phage can either infect and lyse a host cell, or insert their DNA into the host cell genome; the latter process is called lysogeny. The clustered regularly interspaced short palindrom...

journal_title：Journal of biological dynamics

authors： Ali Q

更新日期：2019-01-01 00:00:00

abstract：:In this paper we study a two-phase size-structured population model with distributed delay in the birth process. This model distinguishes individuals by 'active' or 'resting' status. The individuals in the two life-stages have different growth rates. Only individuals in the 'active' stage give birth to the individuals...

journal_title：Journal of biological dynamics

authors： Bai M,Xu S

更新日期：2018-12-01 00:00:00

abstract：:Delay in viral production may have a significant impact on the early stages of infection. During the eclipse phase, the time from viral entry until active production of viral particles, no viruses are produced. This delay affects the probability that a viral infection becomes established and timing of the peak viral l...

journal_title：Journal of biological dynamics

authors： Bai F,Huff KES,Allen LJS

更新日期：2019-01-01 00:00:00

abstract：:Two simple models for the spread of heavy drinking among a network of individuals are re-introduced and analysed. We provide theorems on the spread of alcohol abuse for these models in cases involving simple connection schemes. Indicators for this spread that resemble the [Formula: see text] used in disease assessment...

journal_title：Journal of biological dynamics

authors： French DA,Eisenberg M,Nance T,Teymuroglu Z

更新日期：2018-12-01 00:00:00

abstract：:Erlang differential equation models of epidemic processes provide more realistic disease-class transition dynamics from susceptible (S) to exposed (E) to infectious (I) and removed (R) categories than the ubiquitous SEIR model. The latter is itself is at one end of the spectrum of Erlang SE[Formula: see text]I[Formula...

journal_title：Journal of biological dynamics

authors： Getz WM,Dougherty ER

更新日期：2018-12-01 00:00:00

abstract：:The Lotka-Volterra model is a differential system of two coupled equations representing the interaction of two species: a prey one and a predator one. We formulate an optimal control problem adding the effect of hunting both species as the control variable. We analyse the optimal hunting problem paying special attenti...

journal_title：Journal of biological dynamics

authors： Ibañez A

更新日期：2017-12-01 00:00:00

abstract：:In many existing predator-prey or plant-herbivore models, the numerical response is assumed to be proportional to the functional response. In this paper, without such an assumption, we consider a diffusive plant-herbivore system with Neumann boundary conditions. Besides stability of spatially homogeneous steady states...

journal_title：Journal of biological dynamics

authors： Yu F,Wang L,Watmough J

更新日期：2016-12-01 00:00:00

abstract：:In biochemical networks transient dynamics plays a fundamental role, since the activation of signalling pathways is determined by thresholds encountered during the transition from an initial state (e.g. an initial concentration of a certain protein) to a steady-state. These thresholds can be defined in terms of the in...

journal_title：Journal of biological dynamics

authors： Duc LH,Chávez JP,Son DT,Siegmund S

更新日期：2016-01-01 00:00:00

abstract：:This paper deals with the global property of a drinking model with public health educational campaigns. With the help of Lyapunov function, global stability of equilibria of the model is derived. The alcohol-free equilibrium is globally asymptotically stable and the alcohol problems are eliminated from population if [...

journal_title：Journal of biological dynamics

authors： Xiang H,Song NN,Huo HF

更新日期：2016-01-01 00:00:00

abstract：:We study an epidemic model that incorporates risk-taking behaviour as a response to a perceived low prevalence of infection that follows from the administration of an effective treatment or vaccine. We assume that knowledge about the number of infected, recovered and vaccinated individuals has an effect in the contact...

journal_title：Journal of biological dynamics

authors： Sega L,Maxin D,Eaton L,Latham A,Moose A,Stenslie S

更新日期：2015-01-01 00:00:00

abstract：:Antivirals are the first line of defence against influenza, so drug efficacy should be re-evaluated for each new strain. However, due to the time and expense involved in assessing the efficacy of drug treatments both in vitro and in vivo, treatment regimens are largely not re-evaluated even when strains are found to b...

journal_title：Journal of biological dynamics

authors： Beggs NF,Dobrovolny HM

更新日期：2015-01-01 00:00:00

abstract：:The present study deals with the analysis of a predator-prey like model consisting of system of differential equations with piecewise constant arguments. A solution of the system with piecewise constant arguments leads to a system of difference equations which is examined to study boundedness, local and global asympto...

journal_title：Journal of biological dynamics

authors： Kartal S,Gurcan F

更新日期：2015-01-01 00:00:00

abstract：:This paper addresses the global existence and global asymptotic behaviour of positive solutions to a non-autonomous Nicholson's blowflies model with delays. By using a novel approach, sufficient conditions are derived for the existence and global exponential convergence of positive solutions of the model without any r...

journal_title：Journal of biological dynamics

authors： Van Hien L

更新日期：2014-01-01 00:00:00

abstract：:The emergence and spread of drug resistance is one of the most challenging public health issues in the treatment of some infectious diseases. The objective of this work is to investigate whether the effect of resistance can be contained through a time-dependent treatment strategy during the epidemic subject to an isop...

journal_title：Journal of biological dynamics

authors： Jaberi-Douraki M,Moghadas SM

更新日期：2013-01-01 00:00:00

abstract：:Variation among individuals is an ubiquitous feature of natural populations. However, the relative roles of intrinsic individual differences and stochastic processes in generating variation remain poorly understood. For somatic growth, identifying the contribution of individual and stochastic processes to observed var...

journal_title：Journal of biological dynamics

authors： Shelton AO,Mangel M

更新日期：2012-01-01 00:00:00

abstract：:A general branching process model is proposed to describe the shortening of telomeres in eukaryotic chromosomes. The model is flexible and incorporates many special cases to be found in the literature. In particular, we show how telomere shortening can give rise to sigmoidal growth curves, an idea first expressed by P...

journal_title：Journal of biological dynamics

authors： Olofsson P

更新日期：2010-11-01 00:00:00

abstract：:We propose a discrete-time, age-structured population model to study the impact of Allee effects and harvesting. It is assumed that survival probabilities from one age class to the next are constants and fertility rate is a function of weighted total population size. Global extinction is certain if the maximal growth ...

journal_title：Journal of biological dynamics

authors： Jang SR

更新日期：2010-07-01 00:00:00