Abstract:
:Host bird species of the Eurasian Cuckoo, Cuculus canorus, often display egg-discrimination behaviour but chick-rejection behaviour has never been reported. In this paper, we analyse a host-cuckoo association in which both population dynamics and evolutionary dynamics are explored in a discrete-time model. We introduce four host types, each with their own defence behaviour, displaying either egg or chick rejection, neither or both, We also introduce fitness functions for each of these host types. Although we can characterize the long term behaviour in many cases by a simple heuristic argument which is in accordance with common views in ecology, there are a number of other phenomena that are not explained within this framework: we describe stable oscillatory behaviour and coexistence of two defensive host types. We analyse the scenarios in which chick rejection may establish itself and give a first explanation as to why this defence trait has never been recorded in nature. We find that chick rejectors generally are at an intrinsic disadvantage with respect to a host type that rejects eggs. Hosts benefit more from rejecting cuckoo eggs than cuckoo chicks, and our model suggests that this is chiefly responsible for the absence of chick rejection. Moreover, even though it seems that chick rejection must be useful as an extra defence, it is shown that hosts with both defence strategies are less likely to establish themselves in competition with egg-rejectors than hosts which reject chicks only. These results provide insight in the extent to which adaptations may be perfected by natural selection.
journal_name
Bull Math Bioljournal_title
Bulletin of mathematical biologyauthors
Planqué R,Britton NF,Franks NR,Peletier MAdoi
10.1006/bulm.2002.0311subject
Has Abstractpub_date
2002-11-01 00:00:00pages
1045-68issue
6eissn
0092-8240issn
1522-9602journal_volume
64pub_type
杂志文章abstract::A kinetic model is proposed to delineate the factors that determine the coronary reactive hyperemic response (RHR) to transient ischemia. The model comprises of myocardial-interstitial (M) and vascular (V) compartments. Vasodilator metabolites (VM) are produced in the M compartment during the interval of coronary occl...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/BF02458320
更新日期:1995-01-01 00:00:00
abstract::Aging in Caenorhabditis elegans is controlled, in part, by the insulin-like signaling and heat shock response pathways. Following thermal stress, expression levels of small heat shock protein-16.2 show a spatial patterning across the 20 intestinal cells that reside along the length of the worm. Here, we present a hypo...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-018-0482-7
更新日期:2018-10-01 00:00:00
abstract::In this work, we show that a one-dimensional model of the blood flow across the lungs can reproduce the evolution of a bolus versus the time. Solving the differential equation governing the bolus concentration in the framework of this model, we determine the solution which fulfills Gaussian initial boundary conditions...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/BF02458387
更新日期:1996-11-01 00:00:00
abstract::An algorithm for computing the linear noise approximation (LNA) of the reaction-diffusion master equation (RDME) is developed and tested. The RDME is often used as a model for biochemical reaction networks. The LNA is derived for a general discretization of the spatial domain of the problem. If M is the number of chem...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-018-0428-0
更新日期:2019-08-01 00:00:00
abstract::We develop a staged-structured population model that describes the competitive dynamics of two functionally similar, congeneric invasive species: zebra mussels and quagga mussels. The model assumes that the population survival rates are functions of temperature and turbidity, and that the two species compete for food....
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-016-0146-4
更新日期:2016-03-01 00:00:00
abstract::In this work, we present a pedagogical tumour growth example, in which we apply calibration and validation techniques to an uncertain, Gompertzian model of tumour spheroid growth. The key contribution of this article is the discussion and application of these methods (that are not commonly employed in the field of can...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-017-0258-5
更新日期:2017-04-01 00:00:00
abstract::A system of differential equations for the control of tumor growth cells in a cycle nonspecific chemotherapy is analyzed. Spontaneously acquired drug resistance is taken into account, and a criterion for the selection of chemotherapeutic treatment is used. This criterion purports to describe the possibility of improve...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/BF02462001
更新日期:1997-03-01 00:00:00
abstract::There is still controversy as to which characteristics of the pressure-volume relation should be used to define myocardial contractility. In the present study a mathematical model for the left ventricle as a two-dimensional cylinder contracting radially and symmetrically was used to establish a relation between a calc...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/BF02460085
更新日期:1989-01-01 00:00:00
abstract::We study the global stability of a class of models for in-vivo virus dynamics that take into account the Cytotoxic T Lymphocyte immune response and display antigenic variation. This class includes a number of models that have been extensively used to model HIV dynamics. We show that models in this class are globally a...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-010-9543-2
更新日期:2011-03-01 00:00:00
abstract::We develop a numerical method for estimating optimal parameters in a mathematical model of the within-host dynamics of malaria infection. The model consists of a quasilinear system of partial differential equations. Convergence theory for the computed parameters is provided. Following this analysis, we present several...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-011-9650-8
更新日期:2011-11-01 00:00:00
abstract::The coexistence of a large number of phytoplankton species on a seemingly limited variety of resources is a classical problem in ecology, known as 'the paradox of the plankton'. Strong fluctuations in species abundance due to the external factors or competitive interactions leading to oscillations, chaos and short-ter...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-006-9109-5
更新日期:2006-11-01 00:00:00
abstract::Microtubules (MTs) are protein filaments found in all eukaryotic cells which are crucial for many cellular processes including cell movement, cell differentiation, and cell division. Due to their role in cell division, they are often used as targets for chemotherapy drugs used in cancer treatment. Experimental studies...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-018-0531-2
更新日期:2019-03-01 00:00:00
abstract::Metaecoepidemic models generalize metapopulation systems, combining local population dynamics with inter-patch migration coupled with an epidemic proliferation. A resource-consumer model is introduced with an ecosystem composed by two patches, in which consumers can freely move. A disease affects resources of the seco...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-020-00764-5
更新日期:2020-07-07 00:00:00
abstract::Cell polarization is an important part of the response of eukaryotic cells to stimuli, and forms a primary step in cell motility, differentiation, and many cellular functions. Among the important biochemical players implicated in the onset of intracellular asymmetries that constitute the early phases of polarization a...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-012-9766-5
更新日期:2012-11-01 00:00:00
abstract::We present an improved mathematical model of population dynamics of mosquito-borne disease transmission. Our model considers the effect of mosquito repellent use and the mosquito's behavior or attraction to the infected human, which cause mosquitoes' biased distribution around the human population. Our analysis of the...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-019-00666-1
更新日期:2019-12-01 00:00:00
abstract::This paper considers a model of foodwebs taking into account species extinction and invasion. We show that system stability depends not only on usual parameters (mortality rates, self-limitation coefficients, and resource abundances), but also on an additional parameter ("biodiversity potential"). The main result is a...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-016-0216-7
更新日期:2016-11-01 00:00:00
abstract::The simulation of biological systems is often plagued by a high level of noise in the data, as well as by models containing a large number of correlated parameters. As a result, the parameters are poorly identified by the data, and the reliability of the model predictions may be questionable. Bayesian sampling methods...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-009-9417-7
更新日期:2009-10-01 00:00:00
abstract::We consider a minimalist model for the Sterile Insect Technique (SIT), assuming that residual fertility can occur in the sterile male population. Taking into account that we are able to get regular measurements from the biological system along the control duration, such as the size of the wild insect population, we st...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-020-00790-3
更新日期:2020-08-09 00:00:00
abstract::We address the problem of using nonlinear models to design experiments to characterize the dynamics of cellular processes by using the approach of the Maximally Informative Next Experiment (MINE), which was introduced in W. Dong et al. (PLoS ONE 3(8):e3105, 2008) and independently in M.M. Donahue et al. (IET Syst. Bio...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-014-9935-9
更新日期:2014-03-01 00:00:00
abstract::A coupled model is presented for simulating physical and biological dynamics in fresh water lakes. The physical model rests upon the assumption that the turbulent kinetic energy in a water column of the lake is fully contained in a mixed layer of variable depth. Below this layer the mechanical energy content is assume...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1006/bulm.1998.0075
更新日期:1999-03-01 00:00:00
abstract::To help manage the fluctuations inherent in fish populations scientists have argued for both an ecosystem approach to management and the greater use of marine reserves. Support for reserves includes empirical evidence that they can raise the spawning biomass and mean size of exploited populations, increase the abundan...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1016/j.bulm.2004.11.006
更新日期:2005-09-01 00:00:00
abstract::A protein fold can be viewed as a self-avoiding walk in certain lattice model, and its contact map is a graph that represents the patterns of contacts in the fold. Goldman, Istrail, and Papadimitriou showed that a contact map in the 2D square lattice can be decomposed into at most two stacks and one queue. In the term...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-016-0212-y
更新日期:2017-01-01 00:00:00
abstract::Understanding the life-history complex of eusociality has remained an enduring problem in evolutionary ecology, partially because natural selection models have considered traits in relative isolation. I aim for a more inclusive model that uses ecological interactions to predict the evolutionary existence of sexual rep...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-006-9112-x
更新日期:2007-05-01 00:00:00
abstract::In this paper we attack the problem of understanding the localization of the main structures involved in the motor circadian rhythm of crayfish by analysing its ontogeny. We present experimental results giving the properties of this rhythm in young and adult crayfish. Then we construct a mathematical model (based on a...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1006/bulm.2001.0227
更新日期:2001-03-01 00:00:00
abstract::While cholera has been a recognized disease for two centuries, there is no strategy for its effective control. We formulate a mathematical model to include essential components such as a hyperinfectious, short-lived bacterial state, a separate class for mild human infections, and waning disease immunity. A new result ...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-010-9521-8
更新日期:2010-11-01 00:00:00
abstract::The lactose operon in Escherichia coli was the first known gene regulatory network, and it is frequently used as a prototype for new modeling paradigms. Historically, many of these modeling frameworks use differential equations. More recently, Stigler and Veliz-Cuba proposed a Boolean model that captures the bistabili...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-017-0306-1
更新日期:2017-08-01 00:00:00
abstract::The coordinated beating of motile cilia is responsible for ovum transport in the oviduct, transport of mucus in the respiratory tract, and is the basis of motility in many single-celled organisms. The beating of a single motile cilium is achieved by the ATP-driven activation cycles of thousands of dynein molecular mot...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-008-9296-3
更新日期:2008-05-01 00:00:00
abstract::A rigorous Bayesian analysis is presented that unifies protein sequence-structure alignment and recognition. Given a sequence, explicit formulae are derived to select (1) its globally most probable core structure from a structure library; (2) its globally most probable alignment to a given core structure; (3) its most...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1006/S0092-8240(98)90002-7
更新日期:1998-11-01 00:00:00
abstract::Many neurons in mammalian sensory systems exhibit On and Off responses when given appropriate excitatory and inhibitory stimuli. In some instances, such neurons can also exhibit a Mixed response where diminished On and Off responses are both present. In this manuscript, we present a simple single cell model for these ...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-008-9358-6
更新日期:2009-01-01 00:00:00
abstract::The mammalian kidney consumes a large amount of energy to support the reabsorptive work it needs to excrete metabolic wastes and to maintain homeostasis. Part of that energy is supplied via the metabolism of glucose. To gain insights into the transport and metabolic processes in the kidney, we have developed a detaile...
journal_title:Bulletin of mathematical biology
pub_type: 杂志文章
doi:10.1007/s11538-016-0188-7
更新日期:2016-06-01 00:00:00