A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach
The distribution of ticks is essentially determined by the presence of climatic conditions and ecological contexts suitable for their survival and development. We build a model that explicitly takes into account each physiological state through a system of infinite differential equations where tick...
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| Veröffentlicht in: | Journal of mathematical biology 2022-05, Vol.84 (6), p.52-52, Article 52 |
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| container_title | Journal of mathematical biology |
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| creator | Ndongo, Mamadou Sadio Ndiaye, Papa Ibrahima Gharbi, Mohamed Rekik, Mourad BenMiled, Slimane Darghouth, Mohamed Aziz |
| description | The distribution of ticks is essentially determined by the presence of climatic conditions and ecological contexts suitable for their survival and development. We build a model that explicitly takes into account each physiological state through a system of infinite differential equations where tick population density are structured on an infinite discrete set. We suppose that intrastage development process is temperature dependent (Arrhenius temperatures function) and that larvae hatching and adult mortality are temperature and water vapor deficit dependent. We analysed mathematically the model and have explicit the
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| doi_str_mv | 10.1007/s00285-022-01755-x |
| format | Article |
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of the tick population.</description><subject>Animals</subject><subject>Applications of Mathematics</subject><subject>Arachnids</subject><subject>Cauchy problems</subject><subject>Climatic conditions</subject><subject>Differential equations</subject><subject>Hatching</subject><subject>Larva</subject><subject>Larvae</subject><subject>Life cycles</subject><subject>Mathematical and Computational Biology</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Population Density</subject><subject>Temperature</subject><subject>Temperature dependence</subject><subject>Ticks</subject><subject>Water 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climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach</title><author>Ndongo, Mamadou Sadio ; Ndiaye, Papa Ibrahima ; Gharbi, Mohamed ; Rekik, Mourad ; BenMiled, Slimane ; Darghouth, Mohamed Aziz</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c326t-cb2f9c1ad30408ed99d09dc3334bebb13060d33110539c0567b8b0bf68c89be3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Animals</topic><topic>Applications of Mathematics</topic><topic>Arachnids</topic><topic>Cauchy problems</topic><topic>Climatic conditions</topic><topic>Differential equations</topic><topic>Hatching</topic><topic>Larva</topic><topic>Larvae</topic><topic>Life cycles</topic><topic>Mathematical and Computational Biology</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Population Density</topic><topic>Temperature</topic><topic>Temperature 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| ispartof | Journal of mathematical biology, 2022-05, Vol.84 (6), p.52-52, Article 52 |
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| source | MEDLINE; SpringerLink Journals - AutoHoldings |
| subjects | Animals Applications of Mathematics Arachnids Cauchy problems Climatic conditions Differential equations Hatching Larva Larvae Life cycles Mathematical and Computational Biology Mathematics Mathematics and Statistics Population Density Temperature Temperature dependence Ticks Water vapor |
| title | A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach |
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