Impulsive release strategies of sterile mosquitos for optimal control of wild population.

abstract：:Incidence vs. Cumulative Cases (ICC) curves are introduced and shown to provide a simple framework for parameter identification in the case of the most elementary epidemiological model, consisting of susceptible, infected, and removed compartments. This novel methodology is used to estimate the basic reproduction rati...

journal_title：Journal of biological dynamics

authors： Lega J

更新日期：2021-12-01 00:00:00

abstract：:We use a mixed time model to study the dynamics of a system consisting of two consumers that reproduce only in annual birth pulses, possibly at different times, with interaction limited to competition for a resource that reproduces continuously. Ecological theory predicts competitive exclusion; this expectation is met...

journal_title：Journal of biological dynamics

authors： Ledder G,Rebarber R,Pendleton T,Laubmeier AN,Weisbrod J

更新日期：2020-12-21 00:00:00

abstract：:Epidemiological models with the identical basic reproduction number R 0 may behave differently on both short time scale and long ...

journal_title：Journal of biological dynamics

authors： Bai F

更新日期：2020-12-01 00:00:00

abstract：:Backward bifurcation is an important property of infectious disease models. A centre manifold method has been developed by Castillo-Chavez and Song for detecting the presence of backward bifurcation and deriving a necessary and sufficient condition for its occurrence in Ordinary Differential Equations (ODE) models. In...

journal_title：Journal of biological dynamics

authors： Martcheva M,Inaba H

更新日期：2020-12-01 00:00:00

abstract：:We present a systematic comparison and analysis of four discrete-time, host-parasitoid models. For each model, we specify that density-dependent effects occur prior to parasitism in the life cycle of the host. We compare density-dependent growth functions arising from the Beverton-Holt and Ricker maps, as well as para...

journal_title：Journal of biological dynamics

authors： Marcinko K,Kot M

更新日期：2020-12-01 00:00:00

abstract：:In this paper, Melnikov analysis of chaos in a simple SIR model with periodically or stochastically modulated nonlinear incidence rate and the effect of periodic and bounded noise on the chaotic motion of SIR model possessing homoclinic orbits are detailed investigated. Based on homoclinic bifurcation, necessary condi...

journal_title：Journal of biological dynamics

authors： Shi Y

更新日期：2020-12-01 00:00:00

abstract：:In Nature, species coexistence is much more frequent than what the classical competition model predicts, so that scientists look for mechanisms that explain such a coexistence. We revisit the classical competition model assuming that individuals invest time in competing individuals of the other species. This assumptio...

journal_title：Journal of biological dynamics

authors： Castillo-Alvino H,Marvá M

更新日期：2020-12-01 00:00:00

abstract：:We review research studies which use game theory to model the decision-making of individuals during an epidemic, attempting to classify the literature and identify the emerging trends in this field. The literature is classified based on (i) type of population modelling (classical or network-based), (ii) frequency of t...

journal_title：Journal of biological dynamics

authors： Chang SL,Piraveenan M,Pattison P,Prokopenko M

更新日期：2020-12-01 00:00:00

abstract：:In this paper, a mathematical model describing tuberculosis transmission with fast and slow progression and age-dependent latency and infection is investigated. It is assumed in the model that infected individuals can develop tuberculosis by either of two pathogenic mechanisms: direct progression or endogenous reactiv...

journal_title：Journal of biological dynamics

authors： Xu R,Yang J,Tian X,Lin J

更新日期：2019-12-01 00:00:00

abstract：:Vector-transmitted diseases of plants have had devastating effects on agricultural production worldwide, resulting in drastic reductions in yield for crops such as cotton, soybean, tomato, and cassava. Plant-vector-virus models with continuous replanting are investigated in terms of the effects of selection of cutting...

journal_title：Journal of biological dynamics

authors： Bokil VA,Allen LJS,Jeger MJ,Lenhart S

更新日期：2019-01-01 00:00:00

abstract：:We use a general autonomous discrete-time infectious disease model to extend the next generation matrix approach for calculating the basic reproduction number, [Formula: see text], to account for populations with locally asymptotically stable period k cycles in the disease-free systems, where [Formula: see text]. When...

journal_title：Journal of biological dynamics

authors： van den Driessche P,Yakubu AA

更新日期：2018-12-01 00:00:00

abstract：:In meta-population models for infectious diseases, the basic reproduction number R 0 can be as much as 70% larger in the case of ...

journal_title：Journal of biological dynamics

authors： Cui J,Zhang Y,Feng Z

更新日期：2019-01-01 00:00:00

abstract：:The paper presents a comprehensive numerical study of mathematical models used to describe complex biological systems in the framework of integrated pest management. Our study considers two specific ecosystems that describe the application of control mechanisms based on pesticides and natural enemies, implemented in a...

journal_title：Journal of biological dynamics

authors： Páez Chávez J,Jungmann D,Siegmund S

更新日期：2018-12-01 00:00:00

abstract：:Most classical models for the movement of organisms assume that all individuals have the same patterns and rates of movement (for example, diffusion with a fixed diffusion coefficient) but there is empirical evidence that movement rates and patterns may vary among different individuals. A simple way to capture variati...

journal_title：Journal of biological dynamics

authors： Cantrell RS,Cosner C,Yu X

更新日期：2018-12-01 00:00:00

abstract：:Clustered regularly interspaced short palindromic repeats (CRISPR), linked with CRISPR associated (Cas) genes, can confer adaptive immunity to bacteria, against bacteriophage infections. Thus from a therapeutic standpoint, CRISPR immunity increases biofilm resistance to phage therapy. Recently, however, CRISPR-Cas gen...

journal_title：Journal of biological dynamics

authors： Ali Q,Wahl LM

更新日期：2017-08-01 00:00:00

abstract：:In this article, we present the transmission dynamic of the acute and chronic hepatitis B epidemic problem and develop an optimal control strategy to control the spread of hepatitis B in a community. In order to do this, first we present the model formulation and find the basic reproduction number [Formula: see text]....

journal_title：Journal of biological dynamics

authors： Khan T,Zaman G,Chohan MI

更新日期：2017-12-01 00:00:00

abstract：:A new modelling framework is proposed to study the within-host and between-host dynamics of cholera, a severe intestinal infection caused by the bacterium Vibrio cholerae. The within-host dynamics are characterized by the growth of highly infectious vibrios inside the human body. These vibrios shed from humans contrib...

journal_title：Journal of biological dynamics

authors： Wang X,Wang J

更新日期：2017-03-01 00:00:00

abstract：:This paper introduces a novel immuno-eco-epidemiological model of competition in which one of the species is affected by a pathogen. The infected individuals from species one are structured by time-since-infection and the within-host dynamics of the pathogen and the immune response is also modelled. A novel feature of...

journal_title：Journal of biological dynamics

authors： Bhattacharya S,Martcheva M

更新日期：2016-01-01 00:00:00

abstract：:An analytical and computational framework for the derivation of solitary solutions to biological systems describing the cooperation and competition of species and expressed by the system of Riccati equations coupled with multiplicative terms is presented in this paper. It is demonstrated that relationships between the...

journal_title：Journal of biological dynamics

authors： Navickas Z,Vilkas R,Telksnys T,Ragulskis M

更新日期：2016-01-01 00:00:00

abstract：:Optimal control methods are applied to a deterministic mathematical model to characterize the factors contributing to the replacement of hospital-acquired methicillin-resistant Staphylococcus aureus (HA-MRSA) with community-acquired methicillin-resistant Staphylococcus aureus (CA-MRSA), and quantify the effectiveness ...

journal_title：Journal of biological dynamics

authors： Ding W,Webb GF

更新日期：2017-03-01 00:00:00

abstract：:The principle of competitive exclusion is well established for multiple populations competing for the same resource, and simple models for multistrain infection exhibit it as well when cross-immunity precludes coinfections. However, multiple hosts provide niches for different pathogens to occupy simultaneously. This i...

journal_title：Journal of biological dynamics

authors： Kribs CM,Mitchell C

更新日期：2015-01-01 00:00:00

abstract：:In this paper, we propose and analyse a virus dynamics model with humoral immune response including latently infected cells. The incidence rate is given by Beddington-DeAngelis functional response. We have derived two threshold parameters, the basic infection reproduction number R₀ and the humoral immune response acti...

journal_title：Journal of biological dynamics

authors： Elaiw AM

更新日期：2015-01-01 00:00:00

abstract：:The paper proposes new computational methods of computing confidence bounds for the least-squares estimates (LSEs) of rate constants in mass action biochemical reaction network and stochastic epidemic models. Such LSEs are obtained by fitting the set of deterministic ordinary differential equations (ODEs), correspondi...

journal_title：Journal of biological dynamics

authors： Linder DF,Rempała GA

更新日期：2015-01-01 00:00:00

abstract：:Despite the amplified threats of extinction facing small founder populations, successful colonization sometimes occurs, bringing devastating ecological and economic consequences. One explanation may be rapid evolution, which can increase mean fitness in populations declining towards extinction, permitting persistence ...

journal_title：Journal of biological dynamics

authors： Kanarek AR,Webb CT,Barfield M,Holt RD

更新日期：2015-01-01 00:00:00

abstract：:We consider a dynamical model of cell cycles of n cells in a culture in which cells in one specific phase (S for signalling) of the cell cycle produce chemical agents that influence the growth/cell cycle progression of cells in another phase (R for responsive). In the case that the feedback is negative, it is known th...

journal_title：Journal of biological dynamics

authors： Gong X,Buckalew R,Young T,Boczko E

更新日期：2014-01-01 00:00:00

abstract：:Excessive weight in adults is a national concern with over 2/3 of the US population deemed overweight. Because being overweight has been correlated to numerous diseases such as heart disease and type 2 diabetes, there is a need to understand mechanisms and predict outcomes of weight change and weight maintenance. A si...

journal_title：Journal of biological dynamics

authors： Thomas DM,Martin CK,Heymsfield S,Redman LM,Schoeller DA,Levine JA

更新日期：2011-11-01 00:00:00

abstract：:We investigate the time evolution of disease spread on a network and present an analytical framework using the concept of disease generation time. Assuming a susceptible-infected-recovered epidemic process, this network-based framework enables us to calculate in detail the number of links (edges) within the network th...

journal_title：Journal of biological dynamics

authors： Davoudi B,Moser F,Brauer F,Pourbohloul B

更新日期：2013-01-01 00:00:00

abstract：:We argue that any attempt to classify dynamical properties from nonlinear finite time-series data requires a mechanistic model fitting the data better than piecewise linear models according to standard model selection criteria. Such a procedure seems necessary but still not sufficient. ...

journal_title：Journal of biological dynamics

authors： Lindström T

更新日期：2013-01-01 00:00:00

abstract：:Previous modelling of the haploid-to-diploid ratio (H:D) in biphasic life cycles relied on estimates of the stable population growth rate and structure. This is a projective analysis that estimates the population dynamics given current conditions. However, the environment is rarely constant and has both periodicity an...

journal_title：Journal of biological dynamics

authors： Vieira VM,Santos RO

更新日期：2012-01-01 00:00:00

abstract：:The characterization of the population dynamics of animal populations and dispersal provides the underlying setting of this article. Novel results emerge from our exploration of the role of disease in this context. We focus on the study of the impact of dispersal on the dynamics of populations that account for (a) ind...

journal_title：Journal of biological dynamics

authors： Kang Y,Castillo-Chavez C

更新日期：2012-01-01 00:00:00