Abstract The theory of resonance in population persistence proposes that the survival of a population that is exposed to externally inflicted loss processes (disturbances) during part of its life cycle is dependent on the relation between the average period of the disturbances and the average generation time of the population. This suggests that the size of a population can be controlled by manipulating the period between external disturbances. This theory, first formalized in a study of intertidal Red Sea mollusks exposed to periodic storms, has been found to apply to such seemingly disparate phenomena as the spread of a pathogen among susceptible individuals and the response of malignant cancer cells to chemotherapy. The current article p...
In this paper, we investigate a nonautonomous SIR type epidemic model with pulse vaccination in patc...
Cancer, a family of over a hundred disease varieties, results in 600,000 deaths in the U.S. alone. Y...
Historically, infectious diseases caused considerable damage to human societies, and they continue t...
Abstract The theory of resonance in population persistence proposes that the survival of a populatio...
<p><b>7</b>.A Amplitudes of the uctuations for the infected, virulent population. Blue circles: the ...
Dynamical systems theory predicts that inherently oscillatory systems undergoing periodic forcings w...
A deterministic population dynamics model involving birth and death for a two-species system, compri...
International audienceMany populations are subjected to external perturbations that increase or decr...
<p>Deterministic (black line) and stochastic (red dots) profiles for the amount of infected host, no...
Mathematical models provide a great deal of information about the dynamics of disease spread. In thi...
We investigate a mathematical model describing the growth of tumor in the presence of immune respons...
We study a Langevin equation derived from the Michaelis-Menten (MM) phenomenological scheme for cata...
We find that epidemic resurgence, defined as an upswing in the effective reproduction number (R) of ...
Rapidly evolving pathogens like influenza viruses can persist by changing their antigenic properties...
We point out that a simple and generic strategy in order to lower the risk for extinction consists i...
In this paper, we investigate a nonautonomous SIR type epidemic model with pulse vaccination in patc...
Cancer, a family of over a hundred disease varieties, results in 600,000 deaths in the U.S. alone. Y...
Historically, infectious diseases caused considerable damage to human societies, and they continue t...
Abstract The theory of resonance in population persistence proposes that the survival of a populatio...
<p><b>7</b>.A Amplitudes of the uctuations for the infected, virulent population. Blue circles: the ...
Dynamical systems theory predicts that inherently oscillatory systems undergoing periodic forcings w...
A deterministic population dynamics model involving birth and death for a two-species system, compri...
International audienceMany populations are subjected to external perturbations that increase or decr...
<p>Deterministic (black line) and stochastic (red dots) profiles for the amount of infected host, no...
Mathematical models provide a great deal of information about the dynamics of disease spread. In thi...
We investigate a mathematical model describing the growth of tumor in the presence of immune respons...
We study a Langevin equation derived from the Michaelis-Menten (MM) phenomenological scheme for cata...
We find that epidemic resurgence, defined as an upswing in the effective reproduction number (R) of ...
Rapidly evolving pathogens like influenza viruses can persist by changing their antigenic properties...
We point out that a simple and generic strategy in order to lower the risk for extinction consists i...
In this paper, we investigate a nonautonomous SIR type epidemic model with pulse vaccination in patc...
Cancer, a family of over a hundred disease varieties, results in 600,000 deaths in the U.S. alone. Y...
Historically, infectious diseases caused considerable damage to human societies, and they continue t...