id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-3598	Rasool Hadi, Hanna; Abbas Majeed, Azhar 	The Local Bifurcation of Food web Prey-Predator Model involving fear and anti-Predator behavior	2025	17	.pdf	application/pdf	7097	358	80	So, 𝑓𝑑(𝐻7, 𝑑) = (0,0, −�̃�3) 𝑇 and hence (𝑍[7]) (15) ℎ̃13 = ℎ̃22 (16) �̃�1 > �̃�2 (17) �̃�1 ≠ �̃�2, (18) where: �̃�1 = 4𝑎1𝐶1𝐿1𝐿3 (𝑎1+𝐿1 2) 2 �̃�1 + 𝐶2𝐿3 (1+𝑎2𝐿2)2(1+𝑎3𝐿3) �̃�1 2 + 2𝑆2𝑓1 2𝐿3 (1+𝑓1𝐿3)3 + 2𝑔1𝐿1𝐿3 𝑎1+𝐿1 2 �̃�1 2 + ( 𝑔1(1−2𝐿1 2) 𝑎1+𝐿1 2 + 𝑔1 − 2𝜇) �̃�1, �̃�2 = 𝐶1 (𝑎1+𝐿1 2) ((𝑎1 + 𝐿1 2) − 2𝐿1 2 + (𝑎1 + 2𝐿1))�̃�1 + ( 2𝑆2𝑓1 (1+𝑓1𝐿3)2 + 𝐶2𝑎2𝐿3 (1+𝑎2𝐿2)2(1+𝑎3𝐿3)2 + 𝐶2 (1+𝑎2𝐿2)(1+𝑎3𝐿3)2) �̃�1 + 2𝑎2𝑔2𝐿3 (1+𝑎2𝐿2)3(1+𝑎3𝐿3) �̃�2 2 + 𝑔2 (1+𝑎2𝐿2)2(1+𝑎3𝐿3)2 (𝑎2𝐿2 − 1)�̃�2 + 2𝑔2𝑎3𝐿3 (1+𝑎2𝐿2)(1+𝑎3𝐿3)3.	cache/iajs-3598.pdf	txt/iajs-3598.txt